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  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    of the Riemann zeta function have a real part equal to one half? More unsolved problems in mathematics In mathematics, the Riemann hypothesis is the conjecture

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Generalized Riemann hypothesis
  • Mathematical conjecture about zeros of L-functions

    The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various

    Generalized Riemann hypothesis

    Generalized_Riemann_hypothesis

  • Grand Riemann hypothesis
  • mathematics, the grand Riemann hypothesis is a generalisation of both the Riemann hypothesis and the generalized Riemann hypothesis. It states that the non-trivial

    Grand Riemann hypothesis

    Grand_Riemann_hypothesis

  • Riemann zeta function
  • Analytic function in mathematics

    This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that many mathematicians

    Riemann zeta function

    Riemann zeta function

    Riemann_zeta_function

  • Conjecture
  • Proposition in mathematics that is unproven

    on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles)

    Conjecture

    Conjecture

    Conjecture

  • Hilbert's eighth problem
  • On the distribution of prime numbers

    actually a set of three different problems: the original Riemann hypothesis for the Riemann zeta function the solvability of two-variable, linear, diophantine

    Hilbert's eighth problem

    Hilbert's_eighth_problem

  • Lindelöf hypothesis
  • Mathematical conjecture on the Riemann zeta function

    mathematics, the Lindelöf hypothesis is a conjecture by Finnish mathematician Ernst Leonard Lindelöf about the rate of growth of the Riemann zeta function on the

    Lindelöf hypothesis

    Lindelöf_hypothesis

  • Millennium Prize Problems
  • Seven mathematical problems with a US$1 million prize for each solution

    conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Riemann hypothesis, Yang–Mills existence and mass gap, and the Poincaré conjecture at

    Millennium Prize Problems

    Millennium_Prize_Problems

  • Prime number
  • Number divisible only by 1 and itself

    one of the Millennium Prize Problems, is the Riemann hypothesis, which asks where the zeros of the Riemann zeta function ζ ( s ) {\displaystyle \zeta (s)}

    Prime number

    Prime number

    Prime_number

  • Hilbert's problems
  • 23 mathematical problems stated in 1900

    problem, which was the first to be solved, or the 8th problem (the Riemann hypothesis), which still remains unresolved, were presented precisely enough

    Hilbert's problems

    Hilbert's problems

    Hilbert's_problems

  • Mertens conjecture
  • Disproved mathematical conjecture

    {\sqrt {n}}} . Although now disproven, it had been shown to imply the Riemann hypothesis. It was conjectured by Thomas Joannes Stieltjes, in an 1885 letter

    Mertens conjecture

    Mertens conjecture

    Mertens_conjecture

  • Bernhard Riemann
  • German mathematician (1826–1866)

    prime-counting function, containing the original statement of the Riemann hypothesis, is regarded as a foundational paper of analytic number theory. Through

    Bernhard Riemann

    Bernhard Riemann

    Bernhard_Riemann

  • Prime-counting function
  • Function representing the number of primes less than or equal to a given number

    {1}{\log x}}+{\frac {1}{\pi }}\arctan {\frac {\pi }{\log x}}.} The Riemann hypothesis suggests that every such non-trivial zero lies along Re(s) = ⁠1/2⁠

    Prime-counting function

    Prime-counting function

    Prime-counting_function

  • Instrumental convergence
  • Hypothesis about intelligent agents

    unconstrained goal of solving a complex mathematics problem like the Riemann hypothesis could attempt to turn the Earth (and in principle other celestial

    Instrumental convergence

    Instrumental_convergence

  • Z function
  • Mathematical function

    studying the Riemann zeta function along the critical line where the argument is one-half. It is also called the Riemann–Siegel Z function, the Riemann–Siegel

    Z function

    Z function

    Z_function

  • List of unsolved problems in mathematics
  • Hodge conjecture Navier–Stokes existence and smoothness P versus NP Riemann hypothesis Yang–Mills existence and mass gap The seventh problem, the Poincaré

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Colossally abundant number
  • Type of natural number

    the cost of printing. His findings were mostly conditional on the Riemann hypothesis and with this assumption he found upper and lower bounds for the size

    Colossally abundant number

    Colossally abundant number

    Colossally_abundant_number

  • Hilbert–Pólya conjecture
  • Mathematical conjecture about the Riemann zeta function

    zeros of the Riemann zeta function correspond to eigenvalues of a self-adjoint operator. It is a possible approach to the Riemann hypothesis, by means of

    Hilbert–Pólya conjecture

    Hilbert–Pólya_conjecture

  • Weil conjectures
  • On generating functions from counting points on algebraic varieties over finite fields

    functional equation and (conjecturally) has its zeros restricted by the Riemann hypothesis. The rationality was proved by Bernard Dwork (1960), the functional

    Weil conjectures

    Weil_conjectures

  • Number theory
  • Branch of pure mathematics

    conjecture, the Hardy–Littlewood conjectures, the Waring problem and the Riemann hypothesis. Some of the most important tools of analytic number theory are the

    Number theory

    Number theory

    Number_theory

  • Local zeta function
  •   , {\displaystyle P(t)=\prod _{i=1}^{2g}(1-\omega _{i}t)\ ,} the Riemann hypothesis for curves over finite fields states | ω i | = q 1 / 2   . {\displaystyle

    Local zeta function

    Local_zeta_function

  • List of things named after Bernhard Riemann
  • theorem Riemann–Stieltjes integral Riemann series theorem Riemann sum Riemann–von Mangoldt formula Riemann hypothesis Generalized Riemann hypothesis Grand

    List of things named after Bernhard Riemann

    List_of_things_named_after_Bernhard_Riemann

  • Skewes's number
  • Large number used in number theory

    principle at the time. Skewes (1933) proved that, assuming that the Riemann hypothesis is true, there exists a number x {\displaystyle x} violating π ( x

    Skewes's number

    Skewes's_number

  • Bernoulli number
  • Rational number sequence

    Bernoulli numbers and the Riemann zeta function is strong enough to provide an alternate formulation of the Riemann hypothesis (RH) which uses only the

    Bernoulli number

    Bernoulli_number

  • Farey sequence
  • Increasing sequence of reduced fractions

    (1974). "12.2 Miscellany. The Riemann Hypothesis and Farey Series". In Smith, Paul A.; Ellenberg, Samuel (eds.). Riemann's Zeta Function. Pure and Applied

    Farey sequence

    Farey sequence

    Farey_sequence

  • Louis de Branges de Bourcia
  • French-American mathematician

    several important conjectures in mathematics, including the generalized Riemann hypothesis. Born to American parents who lived in Paris, de Branges moved to

    Louis de Branges de Bourcia

    Louis de Branges de Bourcia

    Louis_de_Branges_de_Bourcia

  • Euler's totient function
  • Number of integers coprime to and less than n

    that the inequality is shown first under the assumption that the Riemann hypothesis is true, secondly under the contrary assumption." For the average

    Euler's totient function

    Euler's totient function

    Euler's_totient_function

  • Arithmetic zeta function
  • Type of zeta function

    It is a consequence of the Weil conjectures (more precisely, the Riemann hypothesis part thereof) that the zeta function has a meromorphic continuation

    Arithmetic zeta function

    Arithmetic_zeta_function

  • L-function
  • Meromorphic function on the complex plane

    important conjectures involving L-functions are, consequently, the Riemann hypothesis and its generalisations. A Dirichlet series, usually convergent on

    L-function

    L-function

    L-function

  • Goldbach's weak conjecture
  • Conjecture about prime numbers, proof under review

    of at most five primes, under the Riemann Hypothesis. In 2012, Terence Tao proved this without the Riemann Hypothesis; this improves both results. In 2002

    Goldbach's weak conjecture

    Goldbach's weak conjecture

    Goldbach's_weak_conjecture

  • Divisor function
  • Arithmetic function related to the divisors of an integer

    {\displaystyle \zeta } is the Riemann zeta function. In 1915, Ramanujan proved that under the assumption of the Riemann hypothesis, Robin's inequality   σ (

    Divisor function

    Divisor function

    Divisor_function

  • Particular values of the Riemann zeta function
  • Constants of the mathematical zeta function

    in the wider plane is important in number theory, because of the Riemann hypothesis. At zero, one has ζ ( 0 ) = B 1 − = − B 1 + = − 1 2 {\displaystyle

    Particular values of the Riemann zeta function

    Particular values of the Riemann zeta function

    Particular_values_of_the_Riemann_zeta_function

  • Theorem
  • In mathematics, a statement that has been proven

    conjecture). The term hypothesis is also used in this sense (e.g. Riemann hypothesis), which should not be confused with "hypothesis" as the premise of a

    Theorem

    Theorem

    Theorem

  • Birch and Swinnerton-Dyer conjecture
  • Unproved conjecture in mathematics

    numerical evidence for the truth of the conjecture. Much like the Riemann hypothesis, this conjecture has multiple consequences, including: Let n be an

    Birch and Swinnerton-Dyer conjecture

    Birch_and_Swinnerton-Dyer_conjecture

  • Prime number theorem
  • Characterization of how many integers are prime

    the Riemann hypothesis). The constant involved in the big O notation was estimated in 1976 by Lowell Schoenfeld, assuming the Riemann hypothesis: | π

    Prime number theorem

    Prime_number_theorem

  • Miller–Rabin primality test
  • Probabilistic primality test

    deterministic, but its correctness relies on the unproven extended Riemann hypothesis. Michael O. Rabin modified it to obtain an unconditional probabilistic

    Miller–Rabin primality test

    Miller–Rabin_primality_test

  • Riemann xi function
  • Simpler variant of the Riemann zeta function

    In mathematics, the Riemann xi function is a variant of the Riemann zeta function, and is defined so as to have a particularly simple functional equation

    Riemann xi function

    Riemann xi function

    Riemann_xi_function

  • Gauss–Kuzmin–Wirsing operator
  • Mathematical concept

    for the Riemann hypothesis". arXiv:math.NT/0307215. Báez-Duarte, Luis (2005). "A sequential Riesz-like criterion for the Riemann hypothesis". International

    Gauss–Kuzmin–Wirsing operator

    Gauss–Kuzmin–Wirsing_operator

  • John Edensor Littlewood
  • British mathematician (1885–1977)

    the problems that Barnes suggested to Littlewood was to prove the Riemann hypothesis, an assignment at which he did not succeed. He was elected a Fellow

    John Edensor Littlewood

    John Edensor Littlewood

    John_Edensor_Littlewood

  • Lambda
  • Eleventh letter in the Greek alphabet

    denotes the de Bruijn–Newman constant which is closely connected with Riemann's hypothesis. In statistics, lambda is used for the likelihood ratio. In statistics

    Lambda

    Lambda

    Lambda

  • Goldbach's conjecture
  • Even integers as sums of two primes

    Hardy and Littlewood showed under the assumption of the generalized Riemann hypothesis that the number of even numbers up to X violating the Goldbach conjecture

    Goldbach's conjecture

    Goldbach's conjecture

    Goldbach's_conjecture

  • Analytic number theory
  • Exploring properties of the integers with complex analysis

    the zeta function, one of which is the well-known Riemann hypothesis. Extending the ideas of Riemann, two proofs of the prime number theorem were obtained

    Analytic number theory

    Analytic number theory

    Analytic_number_theory

  • Zeta function universality
  • Zeta-like functions approximate arbitrary holomorphic functions

    holomorphic function will also have a zero. According to the Riemann hypothesis, the Riemann zeta function does not have any zeros in the considered strip

    Zeta function universality

    Zeta function universality

    Zeta_function_universality

  • Riesz function
  • Mathematical function

    an entire function defined by Marcel Riesz in connection with the Riemann hypothesis, by means of the power series R i e s z ( x ) = ∑ k = 1 ∞ ( − 1 )

    Riesz function

    Riesz function

    Riesz_function

  • One half
  • Irreducible fraction

    on competing conventions). The Riemann hypothesis is the conjecture that every nontrivial complex root of the Riemann zeta function has a real part equal

    One half

    One_half

  • De Bruijn–Newman constant
  • Mathematical constant

    \Lambda } . The constant is closely connected to the Riemann hypothesis. Indeed, the Riemann hypothesis is equivalent to the statement that Λ ≤ 0 {\displaystyle

    De Bruijn–Newman constant

    De_Bruijn–Newman_constant

  • Harmonic number
  • Sum of the first n whole number reciprocals; 1/1 + 1/2 + 1/3 + ... + 1/n

    extended into the complex plane by Bernhard Riemann in 1859, leading directly to the celebrated Riemann hypothesis about the distribution of prime numbers

    Harmonic number

    Harmonic number

    Harmonic_number

  • Li's criterion
  • Statement in number theory

    about the positivity of a certain sequence that is equivalent to the Riemann hypothesis. The criterion is named after Xian-Jin Li, who presented it in 1997

    Li's criterion

    Li's_criterion

  • Landau's problems
  • Four basic unsolved problems about prime numbers

    e^{e^{15.85}}\approx 3.6\cdot 10^{3321634}} assuming the Generalized Riemann hypothesis (GRH) for Dirichlet L-functions. Johnston and Starichkova give a version

    Landau's problems

    Landau's problems

    Landau's_problems

  • André–Oort conjecture
  • Mathematical conjecture

    others. Some of these results were conditional upon the generalized Riemann hypothesis (GRH) being true. In fact, the proof of the full conjecture under

    André–Oort conjecture

    André–Oort_conjecture

  • The Music of the Primes
  • Book by Marcus du Sautoy

    the history of prime number theory. In particular he examines the Riemann hypothesis, the proof of which would revolutionize our understanding of prime

    The Music of the Primes

    The_Music_of_the_Primes

  • Dedekind zeta function
  • Generalization of the Riemann zeta function for algebraic number fields

    extended Riemann hypothesis (ERH) says that all nontrivial zeros of Dedekind zeta functions lie on the critical line, generalizing the classical Riemann hypothesis

    Dedekind zeta function

    Dedekind_zeta_function

  • Chebyshev function
  • Mathematical function

    78{\sqrt[{3}]{x}}&&{\text{for }}x\geq 121.\end{aligned}}} Furthermore, under the Riemann hypothesis, | ϑ ( x ) − x | = O ( x 1 2 + ε ) | ψ ( x ) − x | = O ( x 1 2 + ε

    Chebyshev function

    Chebyshev function

    Chebyshev_function

  • AKS primality test
  • Algorithm checking for prime numbers

    without relying on mathematical conjectures such as the generalized Riemann hypothesis. The proof is also notable for not relying on the field of analysis

    AKS primality test

    AKS_primality_test

  • Ken Ono
  • American mathematician

    the Riemann hypothesis. Their work proves a large portion of the Jensen-Polya criterion for the Riemann hypothesis. However, the Riemann hypothesis remains

    Ken Ono

    Ken Ono

    Ken_Ono

  • Artin L-function
  • Type of Dirichlet series associated to number field extensions

    {1}{2}}} . Riemann Hypothesis for Artin L-functions says, that they should lie on critical line. This is generalization of original Riemann hypothesis as well

    Artin L-function

    Artin_L-function

  • André LeClair
  • Canadian-American physicist and academic

    finite temperature field theory, disordered systems, physics of the Riemann Hypothesis and the cosmological constant. LeClair completed his Bachelor of Science

    André LeClair

    André_LeClair

  • Ramanujan–Petersson conjecture
  • Unsolved problem in mathematics

    precisely, its counterpart of Riemann Hypothesis for local zeta functions) by Deligne (1974). Ramanujan's original hypothesis was inspired by his research

    Ramanujan–Petersson conjecture

    Ramanujan–Petersson_conjecture

  • List of conjectures
  • set of algebraic numbers ( ℵ 0 {\displaystyle \aleph _{0}} ). Bernhard Riemann, at the end of his famous 1859 paper "On the Number of Primes Less Than

    List of conjectures

    List_of_conjectures

  • Ihara zeta function
  • Mathematical finite graph-associated function

    and only if its Ihara zeta function satisfies an analogue of the Riemann hypothesis. The Ihara zeta function is defined as the analytic continuation of

    Ihara zeta function

    Ihara_zeta_function

  • Mills' constant
  • Prime-generating mathematical constant

    and Albert Ingham on prime gaps. Its value is unproven, but if the Riemann hypothesis is true, it is approximately 1.3063778838630806904686144926 … {\displaystyle

    Mills' constant

    Mills'_constant

  • Busy beaver
  • Concept in theoretical computer science

    forever, resolving the conjecture. Many other problems, including the Riemann hypothesis (744 states) and the consistency of ZF set theory (745 states), can

    Busy beaver

    Busy beaver

    Busy_beaver

  • Montgomery's pair correlation conjecture
  • Mathematical conjecture

    function of random Hermitian matrices. Under the assumption that the Riemann hypothesis is true. Let α ≤ β {\displaystyle \alpha \leq \beta } be fixed, then

    Montgomery's pair correlation conjecture

    Montgomery's pair correlation conjecture

    Montgomery's_pair_correlation_conjecture

  • Fields Medal
  • Mathematics award

    solution of the three Weil conjectures concerning generalizations of the Riemann hypothesis to finite fields. His work did much to unify algebraic geometry and

    Fields Medal

    Fields Medal

    Fields_Medal

  • Adolf Piltz
  • German mathematician (1855–1940)

    number theory. Piltz was arguably the first to formulate a generalized Riemann hypothesis, in 1884. Dozenten-Album der Universität Jena: 1858 bis 1908. Neuenhahn

    Adolf Piltz

    Adolf Piltz

    Adolf_Piltz

  • Pólya conjecture
  • Disproven conjecture in number theory

    rather, he showed that the truth of the statement would imply the Riemann hypothesis. For this reason, it is more accurately called "Pólya's problem".

    Pólya conjecture

    Pólya conjecture

    Pólya_conjecture

  • Chebotarev density theorem
  • Describes statistically the splitting of primes in a given Galois extension of Q

    density or the analytic density of the set of primes. The generalized Riemann hypothesis implies an effective version of the Chebotarev density theorem: if

    Chebotarev density theorem

    Chebotarev_density_theorem

  • Partial Euler Product
  • Mathematical concept in number theory

    {\displaystyle s=1} . Goldfeld later proved that these asymptotics imply the Riemann hypothesis for the L-function and that the constant in the asymptotics has an

    Partial Euler Product

    Partial_Euler_Product

  • Number
  • Used to count, measure, and label

    related to the distribution of prime numbers is the Riemann hypothesis, formulated by Bernhard Riemann in 1859. The prime number theorem was finally proved

    Number

    Number

    Number

  • Selberg class
  • Axiomatic definition of a class of L-functions

    including insight into their relationship to automorphic forms and the Riemann hypothesis. The class was defined by Atle Selberg in (Selberg 1992), who preferred

    Selberg class

    Selberg class

    Selberg_class

  • David Hilbert
  • German mathematician (1862–1943)

    Congress of Mathematicians in Paris in 1900. This list, including the Riemann hypothesis, is generally reckoned as the most successful and deeply considered

    David Hilbert

    David Hilbert

    David_Hilbert

  • Prime Obsession
  • Book by John Derbyshire

    mathematics by John Derbyshire, detailing the history of the Riemann hypothesis, named for Bernhard Riemann, and some of its applications. The book was awarded

    Prime Obsession

    Prime_Obsession

  • Explicit formulae for L-functions
  • Mathematical concept

    of an L-function and sums over prime powers, introduced by Riemann (1859) for the Riemann zeta function. Such explicit formulae have been applied also

    Explicit formulae for L-functions

    Explicit_formulae_for_L-functions

  • Bertrand's postulate
  • Result on density of prime numbers

    n + 1 ) 3 {\displaystyle (n+1)^{3}} . Dudek also proved that the Riemann hypothesis implies that for all x ≥ 2 {\displaystyle x\geq 2} there is a prime

    Bertrand's postulate

    Bertrand's postulate

    Bertrand's_postulate

  • Absoluteness (logic)
  • Mathematical logic concept

    is applied. More generally, many famous open problems, such as the Riemann hypothesis and the P = NP problem, can be expressed as Π 2 1 {\displaystyle \Pi

    Absoluteness (logic)

    Absoluteness_(logic)

  • Von Mangoldt function
  • Function on an integer n which is log(p) if n equals p^k and zero otherwise

    }\left(\Lambda (n)-1\right)e^{-ny}} in the limit y → 0+. Assuming the Riemann hypothesis, they demonstrate that F ( y ) = O ( 1 y ) and F ( y ) = Ω ± ( 1 y

    Von Mangoldt function

    Von_Mangoldt_function

  • Dirichlet series
  • Mathematical series

    conjectured that the Selberg class of series obeys the generalized Riemann hypothesis. The series is named in honor of Peter Gustav Lejeune Dirichlet. Dirichlet

    Dirichlet series

    Dirichlet_series

  • Superabundant number
  • Class of natural numbers

    also of interest in connection with the Riemann hypothesis, and with Robin's theorem that the Riemann hypothesis is equivalent to the statement that σ (

    Superabundant number

    Superabundant_number

  • Primality test
  • Algorithm for determining whether a number is prime

    Similarly, under the generalized Riemann hypothesis (which Miller, confusingly, calls the "extended Riemann hypothesis"), the deterministic Miller's test

    Primality test

    Primality_test

  • Lehmer pair
  • Pair of zeros of the Riemann zeta function

    In the study of the Riemann hypothesis, a Lehmer pair is a pair of zeros of the Riemann zeta function that are unusually close to each other. They are

    Lehmer pair

    Lehmer_pair

  • Logarithmic integral function
  • Special function defined by an integral

    primes smaller than or equal to x {\displaystyle x} . Assuming the Riemann hypothesis, we get the even stronger: | li ⁡ ( x ) − π ( x ) | = O ( x log ⁡

    Logarithmic integral function

    Logarithmic integral function

    Logarithmic_integral_function

  • Chen's theorem
  • Every large even number is either sum of a prime and a semi-prime or two primes

    e^{e^{15.85}}\approx 3.6\cdot 10^{3321634}} assuming the generalized Riemann hypothesis (GRH) for Dirichlet L-functions. In 2019, Huixi Li gave a version

    Chen's theorem

    Chen's theorem

    Chen's_theorem

  • Möbius function
  • Multiplicative function in number theory

    function. This idea underlies Alain Connes's attempted proof of the Riemann hypothesis. The Möbius function is multiplicative (i.e., μ ( a b ) = μ ( a )

    Möbius function

    Möbius_function

  • Numberphile
  • UK educational YouTube channel (2011-)

    advanced mathematical concepts such as Fermat's Last Theorem, the Riemann hypothesis and Kruskal's tree theorem. The videos are produced by Brady Haran

    Numberphile

    Numberphile

  • 27 (number)
  • Natural number

    {F_{4}} } in 104 dimensions) is included. In Robin's theorem for the Riemann hypothesis, twenty-seven integers fail to hold σ ( n ) < e γ n log ⁡ log ⁡ n

    27 (number)

    27_(number)

  • RSA cryptosystem
  • Algorithm for public-key cryptography

    noted that Miller has shown that – assuming the truth of the extended Riemann hypothesis – finding d from n and e is as hard as factoring n into p and q (up

    RSA cryptosystem

    RSA_cryptosystem

  • Pierre Deligne
  • Belgian mathematician

    Frobenius endomorphism, considered the geometric analogue of the Riemann hypothesis. It also led to a proof of the Lefschetz hyperplane theorem and the

    Pierre Deligne

    Pierre Deligne

    Pierre_Deligne

  • Navier–Stokes existence and smoothness
  • Millennium Prize Problem

    conjecture Navier–Stokes existence and smoothness P versus NP problem Poincaré conjecture (solved) Riemann hypothesis Yang–Mills existence and mass gap v t e

    Navier–Stokes existence and smoothness

    Navier–Stokes existence and smoothness

    Navier–Stokes_existence_and_smoothness

  • Jérôme Franel
  • Swiss mathematician (1859–1939)

    through a 1924 paper, in which he establishes the equivalence of the Riemann hypothesis to a statement on the size of the discrepancy in the Farey sequences

    Jérôme Franel

    Jérôme Franel

    Jérôme_Franel

  • John Forbes Nash Jr.
  • American mathematician and Nobel Laureate (1928–2015)

    early 1959 in which he originally intended to present proof of the Riemann hypothesis. Instead the lecture was so incoherent that colleagues in the audience

    John Forbes Nash Jr.

    John Forbes Nash Jr.

    John_Forbes_Nash_Jr.

  • Supersingular elliptic curve
  • Mathematical concept

    (1936) discovered supersingular elliptic curves during his work on the Riemann hypothesis for elliptic curves by observing that positive characteristic elliptic

    Supersingular elliptic curve

    Supersingular_elliptic_curve

  • Siegel zero
  • Potential counterexample to the generalized Riemann hypothesis

    Siegel, is a type of potential counterexample to the generalized Riemann hypothesis, on the zeros of Dirichlet L-functions associated to quadratic number

    Siegel zero

    Siegel_zero

  • Artie Shaw
  • American clarinetist and bandleader (1910–2004)

    included studying advanced mathematics, as cited in Karl Sabbagh's The Riemann Hypothesis. In 1946, Shaw was present at a meeting of the Independent Citizens'

    Artie Shaw

    Artie Shaw

    Artie_Shaw

  • Artin's conjecture on primitive roots
  • Conjecture in number theory

    assuming certain cases of the generalized Riemann hypothesis. Without the generalized Riemann hypothesis, there is no single value of a for which Artin's

    Artin's conjecture on primitive roots

    Artin's_conjecture_on_primitive_roots

  • Hasse's theorem on elliptic curves
  • Estimates the number of points on an elliptic curve over a finite field

    zeta-function of E. In this form it can be seen to be the analogue of the Riemann hypothesis for the function field associated with the elliptic curve. A generalization

    Hasse's theorem on elliptic curves

    Hasse's_theorem_on_elliptic_curves

  • Liouville function
  • Arithmetic function

    integers n. For any ε > 0 {\displaystyle \varepsilon >0} , assuming the Riemann hypothesis, we have that the summatory function L ( x ) ≡ L 0 ( x ) {\displaystyle

    Liouville function

    Liouville_function

  • Mertens function
  • Summatory function of the Möbius function

    false in 1985 by Andrew Odlyzko and Herman te Riele. However, the Riemann hypothesis is equivalent to a weaker conjecture on the growth of M(x), namely

    Mertens function

    Mertens function

    Mertens_function

  • Terence Tao
  • Australian and American mathematician (born 1975)

    Bruijn–Newman constant, the nonpositivity of which is equivalent to the Riemann hypothesis, is nonnegative. In 2020, Tao proved Sendov's conjecture, concerning

    Terence Tao

    Terence Tao

    Terence_Tao

  • Poincaré conjecture
  • Theorem in geometric topology

    an easy resolution of the Poincaré conjecture. In the 1800s, Bernhard Riemann and Enrico Betti initiated the study of topological invariants of manifolds

    Poincaré conjecture

    Poincaré_conjecture

  • Standard conjectures on algebraic cycles
  • Set of conjectures in algebraic geometry

    Weil conjectures, namely Weil's Riemann hypothesis (i.e. an analog over finite fields of the well known Riemann hypothesis) that remained open at the end

    Standard conjectures on algebraic cycles

    Standard_conjectures_on_algebraic_cycles

AI & ChatGPT searchs for online references containing RIEMANN HYPOTHESIS

RIEMANN HYPOTHESIS

AI search references containing RIEMANN HYPOTHESIS

RIEMANN HYPOTHESIS

  • Lidmann
  • Boy/Male

    Anglo Saxon

    Lidmann

    Sailor.

    Lidmann

  • Weyman
  • Surname or Lastname

    English

    Weyman

    English : variant of Wyman.Americanized spelling of German Weymann, a variant spelling of Weimann.

    Weyman

  • Rudman
  • Surname or Lastname

    North German (Rudmann) and Dutch

    Rudman

    North German (Rudmann) and Dutch : variant of Rothman(n) (see Rothman).English : nickname for a person with red hair or a ruddy complexion, from Middle English rudde ‘red’, ‘ruddy’ (see Rudd 1) + man ‘man’.Jewish (eastern Ashkenazic) : metronymic from the Yiddish female personal name Rude (variant of Rode used in Poland and Ukraine; compare Ratkovich) + Yiddish man ‘man’, in the sense ‘husband’.

    Rudman

  • Ryman
  • Surname or Lastname

    English

    Ryman

    English : topographic name, a variant of Rye 1 and 2, with the addition of man ‘man’.Swedish : ornamental name composed of the place name element ryd ‘woodland clearing’ + man ‘man’.Swiss German (Rymann) : variant of Reimann 1, 3.

    Ryman

  • Freedman
  • Surname or Lastname

    English (Yorkshire)

    Freedman

    English (Yorkshire) : status name in the feudal system for a serf who had been freed.Jewish (American) : Americanized form of Friedmann (see Fried).

    Freedman

  • Brigman
  • Surname or Lastname

    English

    Brigman

    English : variant of Bridge.Americanized form of German Brüggemann (see Brueggeman).

    Brigman

  • Reman
  • Girl/Female

    Hindu, Indian, Malayalam

    Reman

    Song

    Reman

  • Digman
  • Surname or Lastname

    English

    Digman

    English : variant of Dickman.Danish (Digmann) : either a topographic name, from dik ‘dike’ + man ‘man’, or a nickname for a stout man, from dik ‘fat’ + man.German (Digmann) : variant of Dieckmann.

    Digman

  • Roman
  • Surname or Lastname

    Catalan, French, English, German (also Romann), Polish, Hungarian (Román), Romanian, Ukrainian, and Belorussian

    Roman

    Catalan, French, English, German (also Romann), Polish, Hungarian (Román), Romanian, Ukrainian, and Belorussian : from the Latin personal name Romanus, which originally meant ‘Roman’. This name was borne by several saints, including a 7th-century bishop of Rouen.English, French, and Catalan : regional or ethnic name for someone from Rome or from Italy in general, or a nickname for someone who had some connection with Rome, as for example having been there on a pilgrimage. Compare Romero.

    Roman

  • Beman
  • Surname or Lastname

    English

    Beman

    English : variant spelling of Beeman.Americanized spelling of German Biemann, a habitational name for someone from Biene, Bien, or Bienen, all places in the Rhine-Ems area.

    Beman

  • Hutud
  • Boy/Male

    Arabic

    Hutud

    Remain; Stay

    Hutud

  • Ricman
  • Boy/Male

    American, British, English

    Ricman

    Powerful

    Ricman

  • Richman
  • Surname or Lastname

    English

    Richman

    English : nickname for a wealthy man (see Rich).English : occupational name for the servant of a man called Rich.English : variant of Richmond.German (Richmann) : from a Germanic personal name composed of the elements rīc ‘power(ful)’ + man ‘man’.German (Richmann) : nickname for a rich man.

    Richman

  • Hyman
  • Surname or Lastname

    Jewish (American)

    Hyman

    Jewish (American) : Americanized variant of Heiman.English : variant of Hayman.Americanized spelling of Heimann.

    Hyman

  • Pitman
  • Surname or Lastname

    English (mainly southwestern)

    Pitman

    English (mainly southwestern) : variant of Pitt, with the addition of man.German (Pitmann) : variant of Pittmann (see Pittman).Dutch : variant of Putman 2.

    Pitman

  • Tayman
  • Surname or Lastname

    Possibly an altered spelling of German Dehmann (see Demann).English (Surrey)

    Tayman

    Possibly an altered spelling of German Dehmann (see Demann).English (Surrey) : unexplained.

    Tayman

  • Friedmann
  • Boy/Male

    British, English

    Friedmann

    Born Free

    Friedmann

  • Rygemann
  • Boy/Male

    English

    Rygemann

    Rye merchant.

    Rygemann

  • Reman
  • Girl/Female

    Hindu

    Reman

    Reman

  • Seeman
  • Surname or Lastname

    English

    Seeman

    English : variant spelling of Seaman.Jewish (Ashkenazic) : variant of Seemann.Americanized spelling of German Seemann.

    Seeman

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Online names & meanings

  • Cakra
  • Boy/Male

    Indian, Sanskrit

    Cakra

    Wheel; Circle; Discus; The Sun

  • Apsaras
  • Girl/Female

    Indian, Tamil

    Apsaras

    Beautiful Ladies who Dance in the Court of Indra; Rambha; Urvasi; Menaka

  • Sayanora
  • Girl/Female

    Indian, Japanese

    Sayanora

    Good Bye

  • Mukesh
  • Boy/Male

    Hindu

    Mukesh

    Lord of the dumb, Lord Shiva

  • Ashlin
  • Boy/Male

    English

    Ashlin

    Lives at the ash tree pool.

  • Apollo
  • Boy/Male

    Australian, Danish, French, Greek, Latin

    Apollo

    Manly; Destroyer

  • Sarvadharin | ஸர்வதாரிந
  • Boy/Male

    Tamil

    Sarvadharin | ஸர்வதாரிந

    Lord Shiva

  • ÁLVARO
  • Male

    Spanish

    ÁLVARO

    Spanish form of Visigothic Alewar, ÁLVARO means "guard of all."

  • Turnham
  • Surname or Lastname

    English

    Turnham

    English : habitational name from Turnham in East Yorkshire or Turnham Green in West London, both of which are so named from an Old English trun ‘circular’, probably denoting a U-shaped bend in a river, + hamm ‘water meadow’ or hām ‘homestead’.

  • Wasee
  • Boy/Male

    Arabic

    Wasee

    Wide; Spacious

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Other words and meanings similar to

RIEMANN HYPOTHESIS

AI search in online dictionary sources & meanings containing RIEMANN HYPOTHESIS

RIEMANN HYPOTHESIS

  • Remain
  • v. i.

    To continue unchanged in place, form, or condition, or undiminished in quantity; to abide; to stay; to endure; to last.

  • Piemen
  • pl.

    of Pieman

  • Dwell
  • v. i.

    To abide; to remain; to continue.

  • Pieman
  • n.

    A man who makes or sells pies.

  • Remain
  • v. i.

    To stay behind while others withdraw; to be left after others have been removed or destroyed; to be left after a number or quantity has been subtracted or cut off; to be left as not included or comprised.

  • Remanding
  • p. pr. & vb. n.

    of Remand

  • Remained
  • imp. & p. p.

    of Remain

  • Remaining
  • p. pr. & vb. n.

    of Remain

  • Remand
  • n.

    The act of remanding; the order for recommitment.

  • Remand
  • v. t.

    To recommit; to send back.

  • Remandment
  • n.

    A remand.

  • Remanded
  • imp. & p. p.

    of Remand

  • Continue
  • v. i.

    To remain in a given place or condition; to remain in connection with; to abide; to stay.

  • Remain
  • n.

    That which is left; relic; remainder; -- chiefly in the plural.

  • Retain
  • v. i.

    To keep; to continue; to remain.

  • Remain
  • n.

    State of remaining; stay.

  • Remain
  • n.

    The posthumous works or productions, esp. literary works, of one who is dead; as, Cecil's

  • Remain
  • n.

    That which is left of a human being after the life is gone; relics; a dead body.

  • Abide
  • v. i.

    To remain stable or fixed in some state or condition; to continue; to remain.

  • Remain
  • v. t.

    To await; to be left to.