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λ g {\displaystyle \lambda _{g}} -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification M ¯ g ,
Lambda_g_conjecture
formula, including the Witten conjecture, the Virasoro constraints, and the λ g {\displaystyle \lambda _{g}} -conjecture. It is generalized by the Gopakumar–Mariño–Vafa
ELSV_formula
Conjecture in graph theory
Sidorenko's conjecture is a major conjecture in the field of extremal graph theory, posed by Alexander Sidorenko in 1986. Roughly speaking, the conjecture states
Sidorenko's_conjecture
Conjecture in algebraic geometry
In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by
Witten_conjecture
Major unsolved problem in transcendental number theory
{Q}} } . Schanuel's conjecture would strengthen this result, implying that λ 1 , . . . , λ n {\displaystyle \lambda _{1},...,\lambda _{n}} would also be
Schanuel's_conjecture
Orthogonal symmetric polynomial family
s_{\lambda }} . The coefficients Kλμ(q,t) of these relations are called Kostka–Macdonald coefficients or qt-Kostka coefficients. Macdonald conjectured that
Macdonald_polynomials
Disproven conjecture in number theory
Liouville function, with the conjecture being that L ( n ) = ∑ k = 1 n λ ( k ) ≤ 0 {\displaystyle L(n)=\sum _{k=1}^{n}\lambda (k)\leq 0} for all n > 1 {\displaystyle
Pólya_conjecture
Ugandan Social Media influencer / blogger born 1995 in mbarara town
2. In 2008, Zhiqin Lu proposed a conjecture similar to that of Chern, but with σ + λ 2 {\displaystyle \sigma +\lambda _{2}} taken instead of σ {\displaystyle
Chern's conjecture for hypersurfaces in spheres
Chern's_conjecture_for_hypersurfaces_in_spheres
(\lambda )} . The stable field conjecture: every infinite field with a stable first-order theory is separably closed. The stable forking conjecture for
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Low energy theories not compatible with string theory
d^{d}x{\sqrt {g}}{\frac {1}{2}}G_{ij}\partial _{\mu }\phi ^{i}\partial ^{\mu }\phi ^{j}+...} A stronger version of the original distance conjecture additionally
Swampland_(physics)
Term in combinatorics
multiplier conjecture predicts, in particular, that if p is a prime dividing k − λ {\displaystyle k-\lambda } and not dividing v, then the automorphism g ↦ g p
Difference_set
Disproved conjecture in number theory
{\displaystyle {\lambda }} are any rational numbers. The conjecture was presented in 1778 but only published after Euler's death. Euler's conjecture was disproven
Euler's sum of powers conjecture
Euler's_sum_of_powers_conjecture
Condition on transcendence of numbers
) {\displaystyle M={\begin{pmatrix}\lambda _{11}&\lambda _{12}&\lambda _{13}\\\lambda _{21}&\lambda _{22}&\lambda _{23}\end{pmatrix}}} has rank 2. A special
Six_exponentials_theorem
Concept in group theory
the Cayley graph Λ = ( G , S ) {\displaystyle \Lambda =\left(G,S\right)} . Then the diameter of ( G , ∘ ) {\displaystyle \left(G,\circ \right)} is the
Diameter_(group_theory)
Mathematical constant
then implies that Λ {\displaystyle \Lambda } is unique. Newman also conjectured that Λ ≥ 0 {\displaystyle \Lambda \geq 0} , which was proven forty years
De_Bruijn–Newman_constant
The conjecture states that if G is a simple undirected graph and L(G) its Laplacian matrix, then its eigenvalues λn(L(G)) ≤ λn−1(L(G)) ≤ ... ≤ λ1(L(G))
Brouwer's_conjecture
Theorem about complexity measures of Boolean functions
1\}^{n}\to \{0,1\}} is at least the square root of its degree, thus settling a conjecture posed by Nisan and Szegedy in 1992. The proof is notably succinct, given
Sensitivity_theorem
{B}}_{n-1}(F)\otimes F_{\mathbb {Q} }^{\times }\to \dots \to \Lambda ^{n}F_{\mathbb {Q} }^{\times }.} He conjectured that i {\displaystyle i} -th cohomology of this
Goncharov_conjecture
On the approximate structure of sets whose sumset is small
G {\displaystyle H\subset G} with | H | ≤ | A | {\displaystyle |H|\leq |A|} . In 2012, Tom Sanders gave an almost-polynomial bound of the conjecture for
Freiman's_theorem
Conjecture linking two mathematical areas
In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the K-theory of the reduced C*-algebra of a group
Baum–Connes_conjecture
Statement in complex analysis
\lambda <1} , then | a 3 − λ a 2 2 | ≤ 1 + 2 exp ( − 2 λ / ( 1 − λ ) ) . {\displaystyle |a_{3}-\lambda a_{2}^{2}|\leq 1+2\exp(-2\lambda /(1-\lambda ))
Fekete–Szegő_inequality
Unsolved problem in mathematics
Unsolved problem in mathematics Is the lonely runner conjecture true for every number of runners? More unsolved problems in mathematics In number theory
Lonely_runner_conjecture
On algebraic independence of logarithms
C : e λ ∈ Q ¯ } , {\displaystyle \mathbb {L} =\left\{\lambda \in \mathbb {C} :\ e^{\lambda }\in {\overline {\mathbb {Q} }}\right\},} where C {\displaystyle
Baker's_theorem
Partial differential equation
{\text{Ric}}^{g}=\lambda g} . Then g t = ( 1 − 2 λ t ) g {\displaystyle g_{t}=(1-2\lambda t)g} is a Ricci flow with g 0 = g {\displaystyle g_{0}=g} , since
Ricci_flow
there is a Jónsson algebra on ℵω+1, which settles an old conjecture. The most notorious conjecture in pcf theory states that |pcf(A)|=|A| holds for every
Pcf_theory
Theorem in number theory
_{k_{1}+k_{2}+k_{3}=N}\Lambda (k_{1})\Lambda (k_{2})\Lambda (k_{3}),} using the von Mangoldt function Λ {\displaystyle \Lambda } , and G ( N ) = ( ∏ p ∣ N
Vinogradov's_theorem
Formal system in mathematical logic
simply typed lambda calculus ( λ → {\displaystyle \lambda ^{\to }} ), a form of type theory, is a typed interpretation of the lambda calculus with
Simply_typed_lambda_calculus
Physics theorem argued by G. H. Derrick
{\displaystyle E_{\lambda }=\int \left[(\nabla \theta _{\lambda })^{2}+f(\theta _{\lambda })\right]\,d^{3}x=I_{1}/\lambda +I_{2}/\lambda ^{3}.} Whence d
Derrick's_theorem
Theory with particles of spin more than two
_{\lambda \geq 0}\Phi _{-\lambda }\square \Phi _{\lambda }+\sum _{\lambda _{1,2,3}}{\frac {g\,{\mathrm {l_{p}} }^{\lambda _{1}+\lambda _{2}+\lambda _{3}-1}}{\Gamma
Higher-spin_theory
Certain family of polynomials
{\displaystyle s_{\lambda }(x_{1},\ldots ,x_{n})=\sum _{\mu }K_{\lambda \mu }(t)P_{\mu }(x_{1},\ldots ,x_{n};t).\ } These polynomials were conjectured to have non-negative
Kostka_polynomial
Type of metric in Riemannian geometry
Ric g = λ g {\displaystyle \operatorname {Ric} _{g}=\lambda g} for a real number λ . {\displaystyle \lambda .} When the Riemannian manifold ( X , g ) {\displaystyle
Kähler–Einstein_metric
Type of Dirichlet series associated to number field extensions
of vital importance for number theory. The Artin conjecture also called Artin holomorphy conjecture states that L ( s , ρ , L / K ) {\displaystyle L(s
Artin_L-function
{\displaystyle \lambda } , then K is categorical in all high-enough μ ≤ λ {\displaystyle \mu \leq \lambda } . Shelah's categoricity conjecture for a successor
Abstract_elementary_class
36 mathematical problems stated in 1955
twelfth and thirteenth problems were the precursor to the Taniyama–Shimura conjecture, also known as the modularity theorem, which would be used in Andrew Wiles'
Taniyama's_problems
Expression that cannot be rewritten further
{\lambda } x.xxx)(\lambda x.xxx)&\rightarrow (\mathbf {\lambda } x.xxx)(\lambda x.xxx)(\lambda x.xxx)\\&\rightarrow (\mathbf {\lambda } x.xxx)(\lambda x
Normal form (abstract rewriting)
Normal_form_(abstract_rewriting)
Algebro-geometric stability condition
conjecture about the existence of Kähler metrics on compact Kähler manifolds, now known as the Calabi conjecture. One formulation of the conjecture is
K-stability
Arithmetic function
T(n)=\sum _{k=1}^{n}{\frac {\lambda (k)}{k}}.} It was open for some time whether T(n) ≥ 0 for sufficiently big n ≥ n0 (this conjecture is occasionally—though
Liouville_function
implies Macdonald's positivity conjecture about the Macdonald polynomials. The Macdonald polynomials P λ {\displaystyle P_{\lambda }} are a two-parameter family
N!_conjecture
Generalization of the Riemann zeta function for algebraic number fields
follows directly from more general conjectures like the Artin conjecture or the Selberg orthonormality conjecture. The functional equation allows one
Dedekind_zeta_function
Theorem about the range of an analytic function
together to a holomorphic 1-form g dz on D \ {0}. In the special case where the residue of g at 0 is zero the conjecture follows from the "Great Picard's
Picard_theorem
Algebraic curve in mathematics
lambda ^{2}-\lambda +1\right)\\[4pt]g_{3}'&={\frac {1}{27}}(\lambda +1)\left(2\lambda ^{2}-5\lambda +2\right)\end{aligned}}} and j ( τ ) = 1728 g 2
Elliptic_curve
Sparse graph with strong connectivity
2 d − 1 + ε {\displaystyle \lambda \leq 2{\sqrt {d-1}}+\varepsilon } . In 2003, Joel Friedman both proved the conjecture and specified what is meant by
Expander_graph
Statistical model in quantum mechanics of magnetic materials
\left({\frac {\lambda _{k}+is}{\lambda _{k}-is}}\right)^{N}=\prod _{j\neq k}{\frac {\lambda _{k}-\lambda _{j}+i}{\lambda _{k}-\lambda _{j}-i}}.} For spin
Quantum_Heisenberg_model
Connection on a vector bundle
(\lambda ^{3}-27){\frac {\partial ^{2}\omega _{\lambda }}{\partial \lambda ^{2}}}+3\lambda ^{2}{\frac {\partial \omega _{\lambda }}{\partial \lambda }}+\lambda
Gauss–Manin_connection
Concept in theoretical computer science
all n, then this would resolve all mathematical conjectures that can be reduced to a halting problem, e.g., into a form of "does ⟨this Turing machine⟩ halt"
Busy_beaver
Symmetric function invariant of graphs
λ m ~ λ {\displaystyle X_{G}=\sum _{\lambda \vdash n}z_{\lambda }{\tilde {m}}_{\lambda }} Let p λ {\displaystyle p_{\lambda }} be the power-sum symmetric
Chromatic_symmetric_function
American mathematician
equation g ( x ) = T ( g ) ( x ) = ( 1 / λ ) g ( g ( λ x ) ) , g ( 0 ) = 1 , g ″ ( 0 ) < 0 , λ = g ( 1 ) < 0 {\displaystyle g(x)=T(g)(x)=(1/\lambda )g(g(\lambda
Oscar_Lanford
Disproved conjecture in multilinear algebra on the rank of symmetric tensors
In mathematics, Comon's conjecture was a conjecture in multilinear algebra asserting that the rank and the symmetric rank of a symmetric tensor are always
Comon's_conjecture
Principle in mathematical optimization
_{x}L(x,\lambda )} . The Lagrangian dual program is the program of maximizing g: max λ ≥ 0 g ( λ ) {\displaystyle \max _{\lambda \geq 0}g(\lambda )} . The
Duality_(optimization)
Form of typed lambda calculus
calculus of constructions, but this is not generally the case, e.g. the simply typed lambda calculus allows only terms to depend on terms. Pure type systems
Pure_type_system
Modular function in mathematics
\left\lbrace {\lambda ,{\frac {1}{1-\lambda }},{\frac {\lambda -1}{\lambda }},{\frac {1}{\lambda }},{\frac {\lambda }{\lambda -1}},1-\lambda }\right\rbrace
J-invariant
Meromorphic function on the complex plane
research programs. The Ramanujan conjecture refers to the coefficients λ ( f , n ) {\displaystyle \textstyle \lambda (f,n)} of the Dirichlet series. It
L-function
Probability distribution
{1}{32}}\min \left\{\,{\frac {1}{\lambda }},1\,\right\}\sum _{i=1}^{n}p_{i}^{2}\leq d(PB,Po)\leq {\frac {1-e^{-\lambda }}{\lambda }}\sum _{i=1}^{n}p_{i}^{2}}
Poisson_binomial_distribution
Theory of a class of elliptic curves
z ) {\displaystyle f(\lambda z)} for all λ {\displaystyle \lambda } in K {\displaystyle K} . Conversely, Kronecker conjectured – in what became known
Complex_multiplication
Topological invariant of manifolds that can distinguish homotopy-equivalent manifolds
Cheeger (1977, 1979) and Werner Müller (1978) proved Ray and Singer's conjecture that Reidemeister torsion and analytic torsion are the same for compact
Analytic_torsion
On the existence of arithmetic progressions in subsets of the natural numbers
{\displaystyle \Lambda _{3}(f)=\Lambda (f,f,f)} . Then | Λ 3 ( f ) − Λ 3 ( g ) | ≤ 3 M ‖ f − g ^ ‖ ∞ {\displaystyle |\Lambda _{3}(f)-\Lambda _{3}(g)|\leq 3M\|{\widehat
Roth's theorem on arithmetic progressions
Roth's_theorem_on_arithmetic_progressions
Physics model in statistical mechanics
g {\displaystyle {\mathfrak {g}}} . Define the tensor product V ( λ ) := V λ 1 ⊗ ⋯ ⊗ V λ N {\displaystyle V_{({\boldsymbol {\lambda }})}:=V_{\lambda _{1}}\otimes
Gaudin_model
Description in spectral theory
π ) − d ω d v o l ( Ω ) {\displaystyle \lim _{\lambda \rightarrow \infty }{\frac {N(\lambda )}{\lambda ^{d/2}}}=(2\pi )^{-d}\omega _{d}\mathrm {vol} (\Omega
Weyl_law
Natural number
prime-counting function. The Weil's conjecture on Tamagawa numbers states that the Tamagawa number τ ( G ) {\displaystyle \tau (G)} , a geometrical measure of
1
Description in Riemannian geometry
| g 2 = 1 λ K g ( v , w ) . {\displaystyle K_{\lambda g}(v,w)={\frac {\lambda g\left(R^{\lambda g}(v,w)w,v\right)}{|v|_{\lambda g}^{2}|w|_{\lambda g}^{2}-\langle
Sectional_curvature
Equation in Fourier analysis
{\displaystyle f_{\Lambda }(x)\sim \sum _{\lambda '\in \Lambda '}{\hat {f}}(\lambda ')e^{2\pi i\lambda 'x}} where Λ ′ {\displaystyle \Lambda '} is the dual
Poisson_summation_formula
, G ] = 1 π ∫ R F ( λ ) ¯ G ( λ ) d λ | E ( λ ) | 2 . {\displaystyle [F,G]={\frac {1}{\pi }}\int _{\mathbb {R} }{\overline {F(\lambda )}}G(\lambda ){\frac
De_Branges_space
Mathematical space
when the form is 0, this implies the 4-dimensional topological Poincaré conjecture. If the form is the E8 lattice, this gives a manifold called the E8 manifold
4-manifold
Measure of curvature in differential geometry
= g μ ν ( Γ λ μ ν , λ − Γ λ μ λ , ν + Γ σ μ ν Γ λ λ σ − Γ σ μ λ Γ λ ν σ ) {\displaystyle \operatorname {Scal} =g^{\mu \nu }\left({\Gamma ^{\lambda }}_{\mu
Scalar_curvature
Measure of whether or not a graph has a "bottleneck"
for G ≠ K 1 , K 2 , K 3 {\displaystyle G\neq K_{1},K_{2},K_{3}} , we have 2 h ( G ) ≥ λ ≥ h 2 ( G ) 2 Δ ( G ) {\displaystyle 2h(G)\geq \lambda \geq {\frac
Cheeger constant (graph theory)
Cheeger_constant_(graph_theory)
following conjecture of Herbert Ryser from 1960. Let k {\displaystyle k} by a divisor of n {\displaystyle n} and let Λ k n {\displaystyle \Lambda _{kn}}
Bregman–Minc_inequality
Concept in Hilbert spaces mathematics
{\displaystyle g(\lambda A_{1}+(1-\lambda )A_{2},\lambda B_{1}+(1-\lambda )B_{2})~\leq ~\lambda g(A_{1},B_{1})+(1-\lambda )g(A_{2},B_{2}).} A function g {\displaystyle
Trace_inequality
gluing data ( U i j , g i j ) {\displaystyle (U_{ij},g_{ij})} where g i j g j k g k i = λ i j k {\displaystyle g_{ij}g_{jk}g_{ki}=\lambda _{ijk}} for some
Atiyah–Hirzebruch spectral sequence
Atiyah–Hirzebruch_spectral_sequence
Matrix used in complex analysis
_{n=1}^{N}c_{mn}\lambda _{m}\lambda _{n}\right|^{2}\leq \sum _{n=1}^{N}{1 \over n}|\lambda _{n}|^{2},} Let g(z) be a holomorphic function on z > 1 with g ( z ) =
Grunsky_matrix
Unique knot with a crossing number of four
02988... {\displaystyle 6\Lambda (\pi /3)\approx 2.02988...} (sequence A091518 in the OEIS), where Λ {\displaystyle \Lambda } is the Lobachevsky function
Figure-eight knot (mathematics)
Figure-eight_knot_(mathematics)
Probability inequality for dependent events
Béla Bollobás presented a proof of the conjecture: the chromatic number of G ( n , 1 / 2 ) {\displaystyle G(n,1/2)} is asymptotically n / ( 2 log 2
Janson_inequality
Particular kind of algebraic structure
( λ x ) ∗ = λ ¯ x ∗ {\displaystyle (\lambda x)^{*}={\bar {\lambda }}x^{*}} for every λ ∈ C {\displaystyle \lambda \in \mathbb {C} } and every x ∈ A ; {\displaystyle
Banach_algebra
Measure of the downward gravitational force's shift due to nearby mass
λ := Λ − λ {\textstyle \Delta \lambda :=\Lambda -\lambda } . Draw a spherical perpendicular from Z G {\textstyle Z_{G}} onto the astronomic meridian.
Vertical_deflection
Matrix group
property. A conjecture generally attributed to Serre states that an irreducible arithmetic lattice in a semisimple Lie group G {\displaystyle G} has the
Congruence_subgroup
Divergence in perturbative quantum field theory
p {\displaystyle \left(\Lambda /Q\right)^{p}} as functions of the momentum Q {\displaystyle Q} (here Λ {\displaystyle \Lambda } is the momentum cut-off)
Renormalon
Rate of separation of infinitesimally close trajectories
|{\boldsymbol {\delta }}(t)|\approx e^{\lambda t}|{\boldsymbol {\delta }}_{0}|} where λ {\displaystyle \lambda } is the Lyapunov exponent. The rate of
Lyapunov_exponent
Generalization of gamma distribution to multiple dimensions
{\displaystyle c_{n,p}e^{-{\frac {1}{2}}\sum _{i}\lambda _{i}}\prod \lambda _{i}^{(n-p-1)/2}\prod _{i<j}|\lambda _{i}-\lambda _{j}|} where c n , p {\displaystyle c_{n
Wishart_distribution
Area of discrepancy theory
{\displaystyle \Pr(|\chi (E)|>\lambda )<2\exp(-\lambda ^{2}/(2n))} for all E ⊆ V {\displaystyle E\subseteq V} and λ ≥ 0 {\displaystyle \lambda \geq 0} . Taking λ
Discrepancy_of_hypergraphs
≤ β | ∑ ν = α γ e ( g ( ν ) ) | . {\displaystyle \left\vert {\sum _{n=a}^{b}e(f(n))}\right\vert \ll {\frac {1}{\sqrt {\lambda }}}\max _{\alpha \leq
Van_der_Corput's_method
Vector bundles theorem
named after Shoshichi Kobayashi and Nigel Hitchin, who independently conjectured in the 1980s that the moduli spaces of stable vector bundles and Einstein–Hermitian
Kobayashi–Hitchin correspondence
Kobayashi–Hitchin_correspondence
Gauge theory providing unifying formalism for integrable systems
{\displaystyle C=\mathbb {C} /\Lambda } a complex torus (with Λ {\displaystyle \Lambda } a 2d lattice). If g = 0 {\displaystyle g=0} , then C {\displaystyle
Four-dimensional Chern–Simons theory
Four-dimensional_Chern–Simons_theory
Canadian-American mathematician of Greek origin and operations researcher (1914–1981)
the form ∑ g λ g x T g {\displaystyle \sum _{g}\lambda _{g}xT_{g}} for some group or semigroup G of linear operators T g {\displaystyle T_{g}} on a Banach
Leonidas_Alaoglu
Mathematical formula for the number of Young tableaux
{\displaystyle \lambda =(\lambda _{1}\geq \cdots \geq \lambda _{k})} be a partition of n = λ 1 + ⋯ + λ k {\displaystyle n=\lambda _{1}+\cdots +\lambda _{k}} .
Hook_length_formula
Graph defined from a mathematical group
\Lambda _{i}(S)} . Then the set of eigenvalues of Γ ( G , S ) {\displaystyle \Gamma (G,S)} is exactly ⋃ i Λ i ( S ) , {\textstyle \bigcup _{i}\Lambda _{i}(S)
Cayley_graph
Relationship of various quantum subsystems
≥ λ g ( A 1 , B 1 ) + ( 1 − λ ) g ( A 2 , B 2 ) . {\displaystyle g(\lambda A_{1}+(1-\lambda )A_{2},\lambda B_{1}+(1-\lambda )B_{2})\geq \lambda g(A_{1}
Strong subadditivity of quantum entropy
Strong_subadditivity_of_quantum_entropy
Representation theory
G, via the formula χ λ ( π ( f ) ) = ∫ G f ( g ) ⋅ φ λ ( g ) d g . {\displaystyle \chi _{\lambda }(\pi (f))=\int _{G}f(g)\cdot \varphi _{\lambda }(g)\
Plancherel theorem for spherical functions
Plancherel_theorem_for_spherical_functions
Mathematical concept
≥ | λ 3 | ≥ ⋯ . {\displaystyle 1=|\lambda _{1}|>|\lambda _{2}|\geq |\lambda _{3}|\geq \cdots .} It was conjectured in 1995 by Philippe Flajolet and Brigitte
Gauss–Kuzmin–Wirsing_operator
Matrix operation generalizing exponentiation of scalar numbers
k}=\left\{{\begin{aligned}&{\frac {G_{ik}-G_{jk}}{\lambda _{i}-\lambda _{j}}}&{\text{ if }}i\neq j,\\&{\frac {G_{ii}-G_{ik}}{\lambda _{i}-\lambda _{k}}}&{\text{ if }}i=j{\text{
Matrix_exponential
Algebraic structure
+ κ . {\displaystyle \lambda m+\mu p^{m}+\kappa \ .} The Ferrero–Washington theorem states that μ is zero. Tate conjecture Tate twist Iwasawa theory
Tate_module
Invariant of mathematical knots
) . {\displaystyle \lambda P(L_{1})-\lambda ^{-1}P(L_{2})=(q-q^{-1})P(L_{3}).} Substituting λ = q n , n ≤ 0 {\displaystyle \lambda =q^{n},n\leq 0} leads
Khovanov_homology
{\displaystyle M_{\lambda }} , then Supp M = ⋃ λ Supp M λ . {\displaystyle \operatorname {Supp} M=\bigcup _{\lambda }\operatorname {Supp} M_{\lambda }.} If M
Support_of_a_module
Type of square matrix
1 / n {\displaystyle 1/n} . Proofs of this conjecture were published in 1980 by B. Gyires and in 1981 by G. P. Egorychev and D. I. Falikman; for this
Doubly_stochastic_matrix
Conjecture that gravity must be the weakest force
In theoretical physics, the weak gravity conjecture (WGC) is a conjecture regarding the strength gravity can have in a theory of quantum gravity relative
Weak_gravity_conjecture
Modular arithmetic concept
theory, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. In symbols, g is a primitive root
Primitive_root_modulo_n
Locally spherical point on a mathematical surface
embedded smoothly into Euclidean space, has at least one umbilic. A famous conjecture of Constantin Carathéodory dating from 1924 states that every smooth surface
Umbilical_point
Superconformal Yang–Mills theory
}-i{\overline {\lambda }}^{a}{\overline {\sigma }}^{\mu }D_{\mu }\lambda _{a}-D_{\mu }X^{i}D^{\mu }X^{i}+gC_{i}^{ab}\lambda _{a}[X^{i},\lambda _{b}]+g{\overline
N = 4 supersymmetric Yang–Mills theory
N_=_4_supersymmetric_Yang–Mills_theory
Mathematics concept
{\displaystyle \lambda _{n,k}} be the random variable whose value is the length of this subsequence. Then the expected value of λ n , k {\displaystyle \lambda _{n
Chvátal–Sankoff_constants
pairs: Λ ( s , χ ) = ε Λ ( 1 − s , χ ∗ ) {\displaystyle \Lambda (s,\chi )=\varepsilon \Lambda (1-s,\chi ^{*})} with χ a primitive Dirichlet character,
Functional equation (L-function)
Functional_equation_(L-function)
Periodic set of points
n {\displaystyle \Lambda \cong \mathbb {Z} ^{n}} , meaning M ′ = A M {\displaystyle M'=AM} for an integer transition matrix A ∈ G L n ( Z ) {\displaystyle
Lattice_(group)
Type of smooth complex surface of kodaira dimension 0
over a field is projective.) By Shing-Tung Yau's solution to the Calabi conjecture, it follows that every complex analytic K3 surface has a Ricci-flat Kähler
K3_surface
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LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
LAMBDA G-CONJECTURE
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