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HECKE L-FUNCTION

  • Hecke L-function
  • Topics referred to by the same term

    In mathematics, a Hecke L-function may refer to: an L-function of a modular form an L-function of a Hecke character This disambiguation page lists mathematics

    Hecke L-function

    Hecke_L-function

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

    _{i})^{m_{i}}} where in product we have L-functions for corresponding Hecke characters. Since Hecke L-functions are meromorphic (with only possible pole

    Artin L-function

    Artin_L-function

  • Tate's thesis
  • Mathematic theory

    locally compact group of ideles to lift the zeta function twisted by a Hecke character, i.e. a Hecke L-function, of a number field to a zeta integral and study

    Tate's thesis

    Tate's_thesis

  • Hecke character
  • Type of character in number theory

    Hecke character is a generalisation of a Dirichlet character, introduced by Erich Hecke to construct a class of L-functions larger than Dirichlet L-functions

    Hecke character

    Hecke_character

  • L-function
  • Meromorphic function on the complex plane

    the Riemann zeta function). Most notably, the mathematicians Bernhard Riemann (1826-1866), Richard Dedekind (1831-1916), Erich Hecke (1887-1947) and Emil

    L-function

    L-function

    L-function

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

    entire function. For abelian extensions, the Dedekind conjecture follows from factorization into Hecke L-functions and fact that Hecke L-functions for nontrivial

    Dedekind zeta function

    Dedekind_zeta_function

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    also be extended to the L-functions of Hecke characters of number fields. Since Dirichlet L-functions are Hecke L-functions for finite characters, then

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Explicit formulae for L-functions
  • Mathematical concept

    Li, Xian-Jin (April 2004). "Explicit formulas for Dirichlet and Hecke $L$-functions". Illinois Journal of Mathematics. 48 (2): 491–503. doi:10.1215/ijm/1258138394

    Explicit formulae for L-functions

    Explicit_formulae_for_L-functions

  • Erich Hecke
  • German mathematician

    functions. The method extended to the L-functions associated to a class of characters now known as Hecke characters or idele class characters; such L-functions

    Erich Hecke

    Erich Hecke

    Erich_Hecke

  • Iwahori–Hecke algebra
  • Deformation of the group algebra of a Coxeter group

    Iwahori–Hecke algebra, or Hecke algebra, named for Erich Hecke and Nagayoshi Iwahori, is a deformation of the group algebra of a Coxeter group. The Hecke algebra

    Iwahori–Hecke algebra

    Iwahori–Hecke_algebra

  • List of things named after Erich Hecke
  • Hecke character Hecke congruence subgroup Hecke correspondence Hecke eigenform Hecke group Hecke L-function (disambiguation) Hecke operator Hecke ring

    List of things named after Erich Hecke

    List_of_things_named_after_Erich_Hecke

  • Artin reciprocity
  • Mathematical theorem

    Artin L-functions associated to abelian extensions of a number field with Hecke L-functions associated to characters of the idèle class group. A Hecke character

    Artin reciprocity

    Artin_reciprocity

  • Hecke algebra
  • Type of vector space

    In mathematics, the Hecke algebra is the algebra generated by Hecke operators, which are named after Erich Hecke. The algebra is a commutative ring. In

    Hecke algebra

    Hecke_algebra

  • Rankin–Selberg method
  • analytic continuation, and the automorphy of the theta function to prove the functional equation. Erich Hecke, and later Hans Maass, applied the same Mellin transform

    Rankin–Selberg method

    Rankin–Selberg_method

  • Ramanujan tau function
  • Function studied by Ramanujan

    were proved by Louis Mordell using what is now understood as the theory of Hecke operators. Ramanujan also conjectured the third property | τ ( p ) | ≤ 2

    Ramanujan tau function

    Ramanujan tau function

    Ramanujan_tau_function

  • Weil's criterion
  • L-functions. Weil returned to this idea in a 1972 paper, showing how the formulation extended to a larger class of L-functions (Artin-Hecke L-functions);

    Weil's criterion

    Weil's_criterion

  • Modular form
  • Analytic function on the upper half-plane with a certain behavior under the modular group

    and the partition function. The crucial conceptual link between modular forms and number theory is furnished by the theory of Hecke operators, which also

    Modular form

    Modular_form

  • Complex multiplication of abelian varieties
  • Yutaka Taniyama compute the Hasse–Weil L-function of A, in terms of the CM-type and a Hecke L-function with Hecke character, having infinity-type derived

    Complex multiplication of abelian varieties

    Complex_multiplication_of_abelian_varieties

  • Functional equation (L-function)
  • John Tate. Hecke found generalised characters of number fields, now called Hecke characters, for which his proof (based on theta functions) also worked

    Functional equation (L-function)

    Functional_equation_(L-function)

  • Sato–Tate conjecture
  • Mathematical conjecture about elliptic curves

    curve with complex multiplication, the Hasse–Weil L-function is expressed in terms of a Hecke L-function (a result of Max Deuring). The known analytic results

    Sato–Tate conjecture

    Sato–Tate_conjecture

  • Taniyama's problems
  • 36 mathematical problems stated in 1955

    elliptic curves. Taniyama's tenth problem addressed Dedekind zeta functions and Hecke L-series, and while distributed in English at the 1955 Tokyo-Nikkō

    Taniyama's problems

    Taniyama's_problems

  • Hecke algebra of a finite group
  • Hecke algebra of a finite group is the algebra spanned by the double cosets HgH of a subgroup H of a finite group G. It is a special case of a Hecke algebra

    Hecke algebra of a finite group

    Hecke_algebra_of_a_finite_group

  • Eichler–Shimura congruence relation
  • Theorem in number theory

    congruence relation expresses the local L-function of a modular curve at a prime p in terms of the eigenvalues of Hecke operators. It was introduced by Eichler (1954)

    Eichler–Shimura congruence relation

    Eichler–Shimura_congruence_relation

  • Grand Riemann hypothesis
  • 2020. Conrey, Brian; Iwaniec, Henryk (2002). "Spacing of zeros of Hecke L-functions and the class number problem". Acta Arithmetica. 103 (3): 259–312

    Grand Riemann hypothesis

    Grand_Riemann_hypothesis

  • Guido Kings
  • German mathematician (born 1965)

    paper Eisenstein-Kronecker classes, integrality of critical values of Hecke L-functions and p-adic interpolation, which appeared in Annals of Mathematics)

    Guido Kings

    Guido Kings

    Guido_Kings

  • Ramanujan–Petersson conjecture
  • Unsolved problem in mathematics

    } In 1917, L. Mordell proved the first two relations using techniques from complex analysis, specifically using what are now known as Hecke operators.

    Ramanujan–Petersson conjecture

    Ramanujan–Petersson_conjecture

  • Louis de Branges de Bourcia
  • French-American mathematician

    a proof of the Riemann hypothesis for Hecke L-functions, a group even more general than Dirichlet L-functions (which would imply an even more powerful

    Louis de Branges de Bourcia

    Louis de Branges de Bourcia

    Louis_de_Branges_de_Bourcia

  • Norbert Schappacher
  • German mathematician and historian of mathematics

    Hirzebruch F.; Schwermer J.; Suter S., eds. (1985). "Special values of Hecke L-functions and abelian integrals by G. Harder and N. Schappacher". Arbeitstagung

    Norbert Schappacher

    Norbert Schappacher

    Norbert_Schappacher

  • Zonal spherical function
  • biinvariant functions of compact support, often called a Hecke algebra. The spectrum of the commutative Banach *-algebra of biinvariant L1 functions is larger;

    Zonal spherical function

    Zonal_spherical_function

  • Brauer's theorem on induced characters
  • Fundamental result in the branch of mathematics known as character theory

    application to Artin L-functions. It shows that those are built up from Dirichlet L-functions, or more general Hecke L-functions. Highly significant for

    Brauer's theorem on induced characters

    Brauer's_theorem_on_induced_characters

  • Langlands program
  • Conjectures connecting number theory and geometry

    the Riemann zeta function) constructed from Hecke characters. The precise correspondence between these different kinds of L-functions constitutes Artin's

    Langlands program

    Langlands_program

  • Siegel zero
  • Potential counterexample to the generalized Riemann hypothesis

    theory of Dirichlet L-functions is as potential exceptions to the classical zero-free regions, which can only occur when the L-function is associated to

    Siegel zero

    Siegel_zero

  • Lemniscate elliptic functions
  • Mathematical functions

    JSTOR 2321821. Roy, Ranjan (2017). Elliptic and Modular Functions from Gauss to Dedekind to Hecke. Cambridge University Press. p. 28. ISBN 978-1-107-15938-9

    Lemniscate elliptic functions

    Lemniscate elliptic functions

    Lemniscate_elliptic_functions

  • Leila Schneps
  • American mathematician and novelist

    Schneps, Leila (1992), "p-adic interpolation of special values of Hecke L-functions" (PDF), Compositio Mathematica, 82 (2): 143–187, retrieved 2014-01-02

    Leila Schneps

    Leila Schneps

    Leila_Schneps

  • Schwartz–Bruhat function
  • Tate, John T. (1967), "Fourier analysis in number fields and Hecke's zeta-functions", in Cassels, J. W. S.; Fröhlich, A. (eds.), Algebraic Number Theory

    Schwartz–Bruhat function

    Schwartz–Bruhat_function

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

    Riemann's zeta-function on the critical line". Mathematishe Zeitshrift. 10 (3–4): 283–317. doi:10.1007/BF01211614. S2CID 126338046. Hecke, Erich (1983)

    Hilbert's eighth problem

    Hilbert's_eighth_problem

  • Glossary of number theory
  • every integer in the list. Hasse Hasse's theorem on elliptic curves. Hecke Hecke ring ideal The ideal class group of a number field is the group of fractional

    Glossary of number theory

    Glossary_of_number_theory

  • A. O. L. Atkin
  • British-American mathematician

    pneumonia on 28 December 2008, in Maywood, Illinois. Atkin, A. O. L.; Lehner, J. (1970), "Hecke operators on Γ0 (m)", Mathematische Annalen, 185 (2): 134–160

    A. O. L. Atkin

    A._O._L._Atkin

  • Selberg trace formula
  • Mathematical theorem

    interest in the traces of Hecke operators was linked to the Eichler–Selberg trace formula, of Selberg and Martin Eichler, for a Hecke operator acting on a

    Selberg trace formula

    Selberg_trace_formula

  • Shimura correspondence
  • eigenvalues of the Hecke operators T ( p 2 ) {\displaystyle T(p^{2})} determined by p. Using the functional equation of L-function, Shimura showed that

    Shimura correspondence

    Shimura_correspondence

  • Eisenstein ideal
  • Mathematical ideal related to a modular curve

    variety of a modular curve, consisting roughly of elements of the Hecke algebra of Hecke operators that annihilate the Eisenstein series. It was introduced

    Eisenstein ideal

    Eisenstein_ideal

  • Idele group
  • Concept in number theory

    by John Tate in his thesis to formulate global zeta and L {\displaystyle L} -functions and Hecke characters. Let K {\displaystyle K} be a global field,

    Idele group

    Idele_group

  • Quasisymmetric function
  • polynomials, Macdonald polynomials, Hecke algebras, and Kazhdan–Lusztig polynomials. Often quasisymmetric functions provide a powerful bridge between combinatorial

    Quasisymmetric function

    Quasisymmetric_function

  • Modularity theorem
  • Relates rational elliptic curves to modular forms

    corresponding to Hecke eigenforms of weight 2. The 1-dimensional factors are elliptic curves (there can also be higher-dimensional factors, so not all Hecke eigenforms

    Modularity theorem

    Modularity_theorem

  • List of number theory topics
  • equation (L-function) Chebotarev's density theorem Local zeta function Weil conjectures Modular form modular group Congruence subgroup Hecke operator Cusp

    List of number theory topics

    List_of_number_theory_topics

  • Wiles's proof of Fermat's Last Theorem
  • 1995 publication in mathematics

    type, a Hecke eigenform with eigenvalues in Q {\displaystyle \mathbb {Q} } , one also gets a homomorphism Gal ⁡ ( Q ¯ / Q ) → GL 2 ⁡ ( Z / n Z ) . {\displaystyle

    Wiles's proof of Fermat's Last Theorem

    Wiles's proof of Fermat's Last Theorem

    Wiles's_proof_of_Fermat's_Last_Theorem

  • Louis J. Mordell
  • American-born British mathematician (1888-1972)

    Ramanujan's tau-function. The proof was by means, in effect, of the Hecke operators, which had not yet been named after Erich Hecke; it was, in retrospect

    Louis J. Mordell

    Louis J. Mordell

    Louis_J._Mordell

  • Automorphic form
  • Type of generalization of periodic functions in Euclidean space

    infinite prime(s). One way to express the shift in emphasis is that the Hecke operators are here in effect put on the same level as the Casimir operators;

    Automorphic form

    Automorphic_form

  • Jacobi sum
  • Number-theoretic concept

    varieties became established. The Hecke characters in question were exactly those one needs to express the Hasse–Weil L-functions of the Fermat curves, for example

    Jacobi sum

    Jacobi_sum

  • Hilbert modular form
  • Special modular forms

    Hilbert-Blumenthal modular forms. The theory remained dormant for some decades; Erich Hecke appealed to it in his early work, but major interest in Hilbert modular

    Hilbert modular form

    Hilbert_modular_form

  • Modular elliptic curve
  • Mathematical concept

    The function obtained in this way is, remarkably, a cusp form of weight two and level N and is also an eigenform (an eigenvector of all Hecke operators);

    Modular elliptic curve

    Modular elliptic curve

    Modular_elliptic_curve

  • Birman–Wenzl algebra
  • Family of algebras

    , m ) {\displaystyle \mathrm {C} _{n}(\ell ,m)} of dimension 1 ⋅ 3 ⋅ 5 ⋯ ( 2 n − 1 ) {\displaystyle 1\cdot 3\cdot 5\cdots (2n-1)} having the Hecke algebra

    Birman–Wenzl algebra

    Birman–Wenzl_algebra

  • Double coset
  • Concept in math

    theory, the Hecke algebra corresponding to a congruence subgroup Γ of the modular group is spanned by elements of the double coset space Γ ∖ G L 2 + ( Q )

    Double coset

    Double_coset

  • Christopher Deninger
  • German mathematician (born 1958)

    values of L-functions, Perspect. Math., vol. 4, Boston, MA: Academic Press, MR 0944996 Deninger, Christopher (1989), "Higher regulators and Hecke L-series

    Christopher Deninger

    Christopher Deninger

    Christopher_Deninger

  • Ernests Fogels
  • Latvian mathematician who specialized in number theory

    L-functions I". Acta Arithmetica. 7 (2): 87–106. doi:10.4064/aa-7-2-87-106. ISSN 1730-6264. Fogels, E. (1962). "On the zeros of Hecke's L-functions II"

    Ernests Fogels

    Ernests_Fogels

  • Supersingular isogeny graph
  • Class of expander graphs arising in computational number theory

    pp. 217–242, MR 0891898 Pizer, Arnold K. (1990), "Ramanujan graphs and Hecke operators", Bulletin of the American Mathematical Society, New Series, 23

    Supersingular isogeny graph

    Supersingular_isogeny_graph

  • Lafforgue's theorem
  • Completes the Langlands program for general linear groups over algebraic function fields

    classes of irreducible -adic representations σ(π) of dimension n of the absolute Galois group of F that preserves the L-function at every place of F. The

    Lafforgue's theorem

    Lafforgue's_theorem

  • Kannan Soundararajan
  • American mathematician and professor (born 1973)

    "Mass equidistribution for Hecke eigenforms," arXiv:0809.1636v1 K. Soundararajan, "Nonvanishing of quadratic Dirichlet L-functions at s=1/2" arXiv:math/9902163v2

    Kannan Soundararajan

    Kannan Soundararajan

    Kannan_Soundararajan

  • Alexei Venkov
  • Russian mathematician

    with E. Balslev: Selberg's eigenvalue conjecture and the Siegel zeros for Hecke L-series, in: Analysis on Homogeneous Spaces and Representation Theory of

    Alexei Venkov

    Alexei_Venkov

  • Pi
  • Number, approximately 3.14

    Tate, John T. (1967). "Fourier analysis in number fields, and Hecke's zeta-functions". In Cassels, J. W. S.; Fröhlich, A. (eds.). Algebraic Number Theory

    Pi

    Pi

  • Creatine
  • Chemical compound

    Van Leemputte M, Ursø B, Greenhaff PL, Labarque V, Dymarkowski S, Van Hecke P, Richter EA (2001). "Oral creatine supplementation facilitates the rehabilitation

    Creatine

    Creatine

    Creatine

  • Monstrous moonshine
  • Monster and modular connection

    plane by subgroups of SL2(R), particularly, the normalizer Γ0(p)+ of the Hecke congruence subgroup Γ0(p) in SL(2,R). They found that the Riemann surface

    Monstrous moonshine

    Monstrous moonshine

    Monstrous_moonshine

  • Distribution (number theory)
  • D-module of all functions on rational numbers with denominator coprime to N. For any prime l not dividing N we define the Hecke operator Tl by ( T l f ) ( a b

    Distribution (number theory)

    Distribution_(number_theory)

  • Modular curve
  • Algebraic variety

    models" can be very different from those taken directly from elliptic function theory. Hecke operators may be studied geometrically, as correspondences connecting

    Modular curve

    Modular_curve

  • Character (mathematics)
  • Mathematical function

    circle group. Character group Dirichlet character Harish-Chandra character Hecke character Infinitesimal character Alternating character Characterization

    Character (mathematics)

    Character_(mathematics)

  • Kohji Matsumoto
  • Japanese mathematician

    addendum to 'asymptotic series for double zeta, double gamma and Hecke L-functions'". Mathematical Proceedings of the Cambridge Philosophical Society

    Kohji Matsumoto

    Kohji_Matsumoto

  • Fermat's Last Theorem
  • 17th-century conjecture proved by Andrew Wiles in 1994

    curves and Fermat's Last Theorem" and "Ring theoretic properties of certain Hecke algebras", the second of which was co-authored with Taylor and proved that

    Fermat's Last Theorem

    Fermat's Last Theorem

    Fermat's_Last_Theorem

  • Adele ring
  • Concept in number theory

    zeta function, Dirichlet L {\displaystyle L} -functions, and more general Hecke L {\displaystyle L} -functions. Adelic forms of these functions can be

    Adele ring

    Adele_ring

  • Maremmano-Abruzzese Sheepdog
  • Italian breed of livestock guardian dog

    seventeenth-century engraving of the Roman campagna by Joannes van den Hecke An eighteenth-century maiolica of a bear-hunt by Candeloro Cappelletti (1689–1772)

    Maremmano-Abruzzese Sheepdog

    Maremmano-Abruzzese Sheepdog

    Maremmano-Abruzzese_Sheepdog

  • Jones polynomial
  • Mathematical invariant of a knot or link

    L ) = ( − A 3 ) − w ( L ) ⟨ L ⟩ , {\displaystyle X(L)=(-A^{3})^{-w(L)}\langle L\rangle ,} where w ( L ) {\displaystyle w(L)} denotes the writhe of L {\displaystyle

    Jones polynomial

    Jones_polynomial

  • Plancherel theorem for spherical functions
  • Representation theory

    compact subgroup of G. The Hecke algebra Cc(K \G/K), consisting of compactly supported K-biinvariant continuous functions on G, acts by convolution on

    Plancherel theorem for spherical functions

    Plancherel_theorem_for_spherical_functions

  • Blackboard bold
  • Typeface style used in mathematics

    mid-1960s. Early examples include Robert Gunning and Hugo Rossi's Analytic Functions of Several Complex Variables (1965) and Lynn Loomis and Shlomo Sternberg's

    Blackboard bold

    Blackboard bold

    Blackboard_bold

  • Hilbert's twelfth problem
  • Problem about mathematical number fields

    Developments since around 1960 have certainly contributed. Before that Hecke (1912) in his dissertation used Hilbert modular forms to study abelian extensions

    Hilbert's twelfth problem

    Hilbert's_twelfth_problem

  • Basic Number Theory
  • Book about number theory

    John Torrence Jr (1997). Fourier Analysis in Number Fields and Hecke's Zeta-Functions (Doctor of Philosophy thesis). Princeton University. ProQuest 304411725

    Basic Number Theory

    Basic_Number_Theory

  • Macdonald polynomials
  • Orthogonal symmetric polynomial family

    certain non-reduced root systems. They have deep relationships with affine Hecke algebras and Hilbert schemes, which were used to prove several conjectures

    Macdonald polynomials

    Macdonald_polynomials

  • Lemniscate constant
  • Ratio of the perimeter of Bernoulli's lemniscate to its diameter

    2019072, S2CID 102487670 Asai, Tetsuya (2007), Elliptic Gauss Sums and Hecke L-values at s=1, arXiv:0707.3711 "A062539 - Oeis". "A064853 - Oeis". "Lemniscate

    Lemniscate constant

    Lemniscate constant

    Lemniscate_constant

  • Harmonic analysis
  • Area of mathematical analysis

    2017. Tate, John T. (1967), "Fourier Analysis in Number Fields and Hecke's Zeta-Functions", in Cassels, J. W. S.; Fröhlich, A. (eds.), Algebraic Number Theory

    Harmonic analysis

    Harmonic_analysis

  • Cusp form
  • means this definition is possible; and that accounts for the action of Hecke operators on the space being by scalar multiplication (Mordell's proof of

    Cusp form

    Cusp_form

  • Zeev Rudnick
  • Israeli mathematician

    Retrieved 20 March 2026. Kurlberg, Pär; Rudnick, Zeév (15 May 2000). "Hecke theory and equidistribution for the quantization of linear maps of the torus"

    Zeev Rudnick

    Zeev Rudnick

    Zeev_Rudnick

  • Waldspurger formula
  • mathematics, the Waldspurger formula relates the special values of two L-functions of two related admissible irreducible representations. Let k be the base

    Waldspurger formula

    Waldspurger_formula

  • Triangle group
  • Group realized geometrically by reflections across the sides of a triangle

    relation Tn = 1 the modular group is the Hecke group H3. In Grothendieck's theory of dessins d'enfants, a Belyi function gives rise to a tessellation of a Riemann

    Triangle group

    Triangle_group

  • List of unsolved problems in mathematics
  • 2016-03-06. Taylor R, Wiles A (1995). "Ring theoretic properties of certain Hecke algebras". Annals of Mathematics. 141 (3): 553–572. CiteSeerX 10.1.1.128

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Converse theorem
  • Type of theorem in automorphic forms

    Hamburger (1921) who characterized the Riemann zeta function by its functional equation, and by Hecke (1936) who showed that if a Dirichlet series satisfied

    Converse theorem

    Converse_theorem

  • Congruence subgroup
  • Matrix group

    There is also a collection of distinguished operators called Hecke operators on smooth functions on congruence covers, which commute with each other and with

    Congruence subgroup

    Congruence_subgroup

  • Song of Songs
  • Book of the Hebrew Bible and the Christian Old Testament

    Authorship and the 'Wisdom' of the Song of Songs". In Brooke, George J.; Hecke, Pierre van (eds.). Goochem in Mokum, Wisdom in Amsterdam: Papers on Biblical

    Song of Songs

    Song of Songs

    Song_of_Songs

  • John Tate (mathematician)
  • American mathematician (1925–2019)

    doctoral dissertation titled "Fourier analysis in number fields and Hecke's zeta functions" under the supervision of Emil Artin. Tate taught at Harvard for

    John Tate (mathematician)

    John Tate (mathematician)

    John_Tate_(mathematician)

  • List of inventions and discoveries by women
  • linear Ruth Lawrence's 1990 paper, "Homological representations of the Hecke algebra", in Communications in Mathematical Physics, introduced, among other

    List of inventions and discoveries by women

    List_of_inventions_and_discoveries_by_women

  • Maass wave form
  • Complex-valued smooth functions of the upper half plane (harmonic analysis topic)

    global Hecke - function of π {\displaystyle \pi } as L S ( s , π ) := ∏ p ∉ S L ( s , π p ) {\displaystyle L^{S}(s,\pi ):=\prod _{p\notin S}L(s,\pi _{p})}

    Maass wave form

    Maass_wave_form

  • Autism
  • Condition involving social and behavioral differences

    doi:10.1007/978-981-13-8437-0_13. ISBN 978-981-13-8437-0. Karst JS, Van Hecke AV (September 2012). "Parent and family impact of autism spectrum disorders:

    Autism

    Autism

    Autism

  • Saito–Kurokawa lift
  • degree 2 and weight k. The L-functions (when f is a Hecke eigenforms) are related by L(s,σk(f)) = ζ(s − k + 2)ζ(s − k + 1)L(s, f). The Saito–Kurokawa lift

    Saito–Kurokawa lift

    Saito–Kurokawa_lift

  • Vladimir Drinfeld
  • Mathematician

    Langlands correspondence could be then understood in terms of the action of Hecke operators. Drinfeld has also worked in mathematical physics. In collaboration

    Vladimir Drinfeld

    Vladimir_Drinfeld

  • Brandt matrix
  • quaternion algebra over the rationals, and that give a representation of the Hecke algebra. Eichler (1955) calculated the traces of the Brandt matrices. Let

    Brandt matrix

    Brandt_matrix

  • Don Blasius
  • American mathematician

    American Mathematical Society (Class of 2018). "On the critical values of Hecke L-series", Annals of Mathematics, vol. 124, 1986, pp. 23–63 with Jonathan

    Don Blasius

    Don_Blasius

  • Eisenstein–Kronecker number
  • Special numbers in mathematics

    used in the construction of two-variable p-adic L-functions. They are related to critical L-values of Hecke characters. When A is the area of the fundamental

    Eisenstein–Kronecker number

    Eisenstein–Kronecker_number

  • Cuspidal representation
  • related to cusp forms and Maass forms. For the case of cusp forms, each Hecke eigenform (newform) corresponds to a cuspidal representation. Let G {\displaystyle

    Cuspidal representation

    Cuspidal_representation

  • Ring (mathematics)
  • Algebraic structure with addition and multiplication

    {\displaystyle \mathbb {Z} _{p}} ⁠ over all prime numbers p. The Hecke ring, the ring generated by Hecke operators. If S is a set, then the power set of S becomes

    Ring (mathematics)

    Ring_(mathematics)

  • Goro Shimura
  • Japanese mathematician (1930–2019)

    Eichler–Shimura congruence relation between the local L-function of a modular curve and the eigenvalues of Hecke operators. In 1959, Shimura extended the work

    Goro Shimura

    Goro_Shimura

  • SDHA
  • Protein-coding gene in humans

    1016/j.ymgme.2006.05.003. PMID 16798039. Van Coster R, Seneca S, Smet J, Van Hecke R, Gerlo E, Devreese B, et al. (July 2003). "Homozygous Gly555Glu mutation

    SDHA

    SDHA

    SDHA

  • Bernoulli number
  • Rational number sequence

    numbers for imaginary quadratic fields. They are related to critical L-values of Hecke characters. Umbral calculus gives a compact form of Bernoulli's formula

    Bernoulli number

    Bernoulli_number

  • Haruzo Hida
  • Japanese mathematician (born 1952)

    Hida received in 1992 for his research on p-adic L-functions of algebraic groups and p-adic Hecke rings the Spring Prize of the Mathematical Society

    Haruzo Hida

    Haruzo_Hida

AI & ChatGPT searchs for online references containing HECKE L-FUNCTION

HECKE L-FUNCTION

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HECKE L-FUNCTION

  • Heike
  • Girl/Female

    Australian, Chinese, Danish, Dutch, German, Swedish

    Heike

    House Owner; Lord of the Manor; Home Ruler

    Heike

  • HECK
  • Male

    English

    HECK

    English short form of Latin Hector, HECK means "defend; hold fast."

    HECK

  • Hucke
  • Surname or Lastname

    English

    Hucke

    English : variant of Huck 1.German : topographic name from huck, a dialect word meaning ‘bog’.German : variant of Huck 2 and 3.German (of Slavic origin) : pet form of Sorbian hui ‘uncle’.

    Hucke

  • HECKIE
  • Male

    Scottish

    HECKIE

    Scottish pet form of Latin Hector, HECKIE means "defend; hold fast."

    HECKIE

  • KORNÉL
  • Male

    Hungarian

    KORNÉL

    Hungarian form of Roman Latin Cornelius, KORNÉL means "of a horn."

    KORNÉL

  • NJÃ…L
  • Male

    Norwegian

    NJÃ…L

    Norwegian variant form of Scandinavian Njal, NJÃ…L means "champion."

    NJÃ…L

  • PÓL
  • Male

    Irish

    PÓL

    Irish form of Greek Paulos, PÓL means "small."

    PÓL

  • MÍCHEÁL
  • Male

    Irish

    MÍCHEÁL

    Irish Gaelic form of Greek Michaēl, MÍCHEÁL means "who is like God?"

    MÍCHEÁL

  • PÁL
  • Male

    Hungarian

    PÁL

    Hungarian form of Greek Paulos, PÁL means "small."

    PÁL

  • NOËL
  • Male

    French

    NOËL

    French name derived from Latin natalis dies, NOËL means "day of birth."

    NOËL

  • JOËL
  • Male

    French

    JOËL

    French form of Greek Ioel (Hebrew Yowel), JOËL means "Jehovah is God" or "to whom Jehovah is God."

    JOËL

  • HEIKE
  • Male

    German

    HEIKE

    Frisian unisex pet form of German Heinrike and Heinrich, HEIKE means "home-ruler."

    HEIKE

  • PÀL
  • Male

    Scottish

    PÀL

    Scottish form of Latin Paulus, PÀL means "small."

    PÀL

  • Heck
  • Surname or Lastname

    English

    Heck

    English : topographic name for someone who lived by a gate or ‘hatch’ (especially one leading into a forest), northern Middle English heck (Old English hæcc), or a habitational name from Great Heck in North Yorkshire, which is named with this word. Compare Hatch.German : topographic name from Middle High German hecke, hegge ‘hedge’. This name is common in southern Germany and the Rhineland.Possibly an Americanized spelling of French Hec(q), a topographic name from Old French hec ‘gate’, ‘barrier’, ‘fence’ (compare 1), or a habitational name from a place named with this word.Shortened form of the Dutch surname van (den) Hecke, a habitational name from any of several places called ten Hekke in the Belgian provinces of East and West Flanders.

    Heck

  • Henke
  • Boy/Male

    German, Swedish

    Henke

    Ruler of the House

    Henke

  • RAPHAËL
  • Male

    French

    RAPHAËL

    French form of Hebrew Rephael, RAPHAËL means "healed of God" or "whom God has healed."

    RAPHAËL

  • PÃ…L
  • Male

    Swedish

    PÃ…L

    Swedish form of Greek Paulos, PÃ…L means "small."

    PÃ…L

  • Heckle
  • Surname or Lastname

    English (Cheshire)

    Heckle

    English (Cheshire) : from Middle English hekel ‘heckle’, an implement for combing or scutching flax or hemp for spinning, hence a metonymic occupational name for someone who made or used heckles.French (Alsace; Hecklé) : from a diminutive of German Heck 2.

    Heckle

  • GAËL
  • Male

    French

    GAËL

    Masculine form of French Gaëlle, GAËL means "holy and generous."

    GAËL

  • Heike
  • Boy/Male

    Teutonic

    Heike

    Rules an estate.

    Heike

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Online names & meanings

  • Caral
  • Girl/Female

    Australian, Celtic, Irish

    Caral

    Man

  • RADOJKA
  • Female

    Serbian

    RADOJKA

    (Радојка) Serbian name RADOJKA means "joy."

  • Shivi | ஷிவீ
  • Girl/Female

    Tamil

    Shivi | ஷிவீ

    Name of a great king in Hindu mythology

  • Haseley
  • Surname or Lastname

    English

    Haseley

    English : variant of Heasley.

  • Symeon
  • Boy/Male

    Australian, British, English, French, Greek, Hebrew, Polish

    Symeon

    Sign; Heard; Obedient

  • Eimaan |
  • Girl/Female

    Muslim

    Eimaan |

    Faith

  • Akshdeep
  • Boy/Male

    Indian

    Akshdeep

    King of Sky

  • Apollon
  • Boy/Male

    Australian, French, Greek

    Apollon

    Manly Beauty; The God of Medicine and Healing

  • Alpin
  • Boy/Male

    Scottish

    Alpin

    Blond.

  • Sampurna Nand
  • Boy/Male

    Hindu

    Sampurna Nand

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Other words and meanings similar to

HECKE L-FUNCTION

AI search in online dictionary sources & meanings containing HECKE L-FUNCTION

HECKE L-FUNCTION

  • Heck
  • n.

    A rack for cattle to feed at.

  • Marabou
  • n.

    A large stork of the genus Leptoptilos (formerly Ciconia), esp. the African species (L. crumenifer), which furnishes plumes worn as ornaments. The Asiatic species (L. dubius, or L. argala) is the adjutant. See Adjutant.

  • L
  • n.

    An extension at right angles to the length of a main building, giving to the ground plan a form resembling the letter L; sometimes less properly applied to a narrower, or lower, extension in the direction of the length of the main building; a wing.

  • Heck
  • n.

    A bend or winding of a stream.

  • Heck
  • n.

    An apparatus for separating the threads of warps into sets, as they are wound upon the reel from the bobbins, in a warping machine.

  • Fifty
  • n.

    A symbol representing fifty units, as 50, or l.

  • Heck
  • n.

    A door, especially one partly of latticework; -- called also heck door.

  • Heckle
  • n. & v. t.

    Same as Hackle.

  • Heck
  • n.

    The bolt or latch of a door.

  • Ell
  • n.

    See L.

  • Jack
  • n.

    A grating to separate and guide the threads; a heck box.

  • Accuse
  • v. t.

    To betray; to show. [L.]

  • Lambda
  • n.

    The name of the Greek letter /, /, corresponding with the English letter L, l.

  • Heck
  • n.

    A latticework contrivance for catching fish.

  • L
  • n.

    A short right-angled pipe fitting, used in connecting two pipes at right angles.

  • Vetchling
  • n.

    Any small leguminous plant of the genus Lathyrus, especially L. Nissolia.

  • Catechumen
  • L. catechunenus, Gr.

    One who is receiving rudimentary instruction in the doctrines of Christianity; a neophyte; in the primitive church, one officially recognized as a Christian, and admitted to instruction preliminary to admission to full membership in the church.