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SELBERG CLASS

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

    In mathematics, the Selberg class is an axiomatic definition of a class of L-functions. The members of the class are Dirichlet series which obey four axioms

    Selberg class

    Selberg class

    Selberg_class

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

    Atle Selberg and his introduction of class of function satisfying certain properties rather than specific functions, nowadays known as Selberg class. These

    Generalized Riemann hypothesis

    Generalized_Riemann_hypothesis

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    functions defined by direct formula. Though it is expected that Selberg class should be equal to class of automorphic L-functions, and thus this approaches should

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Atle Selberg
  • Norwegian mathematician (1917–2007)

    Atle Selberg (14 June 1917 – 6 August 2007) was a Norwegian mathematician known for his work in analytic number theory and the theory of automorphic forms

    Atle Selberg

    Atle Selberg

    Atle_Selberg

  • L-function
  • Meromorphic function on the complex plane

    referred to as the Selberg class. The overarching hypothesis and the motivating background for the definition of the Selberg class is the so-called Great

    L-function

    L-function

    L-function

  • List of unsolved problems in mathematics
  • t} ? Generalized Riemann hypothesis for Selberg class: do the nontrivial zeros of all functions in Selberg class lie on the critical line 1 / 2 + i t {\displaystyle

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • Li's criterion
  • Statement in number theory

    -Li coefficients. A. Droll generalized the results to the extended Selberg class, A. Bucur, A.-M. Ernvall-Hytönen, A. Odžak and L. Smajlović investigated

    Li's criterion

    Li's_criterion

  • Selberg trace formula
  • Mathematical theorem

    In mathematics, the Selberg trace formula, introduced by Selberg (1956), is an expression for the character of the unitary representation of a Lie group

    Selberg trace formula

    Selberg_trace_formula

  • Dirichlet series
  • Mathematical series

    s) denotes the Dirichlet series of u(n). It is conjectured that the Selberg class of series obeys the generalized Riemann hypothesis. The series is named

    Dirichlet series

    Dirichlet_series

  • De Bruijn–Newman constant
  • Mathematical constant

    Newman's conjecture for L {\displaystyle L} -functions in the extended Selberg class. De Bruijn's upper bound of Λ ≤ 1 / 2 {\displaystyle \Lambda \leq 1/2}

    De Bruijn–Newman constant

    De_Bruijn–Newman_constant

  • List of zeta functions
  • conjecture Riemann hypothesis and the generalized Riemann hypothesis. Selberg class S Explicit formulae for L-functions Trace formula A directory of all

    List of zeta functions

    List_of_zeta_functions

  • Chowla–Selberg formula
  • Evaluates a certain product of values of the Gamma function at rational values

    In mathematics, the Chowla–Selberg formula is the evaluation of a certain product of values of the gamma function at rational values in terms of values

    Chowla–Selberg formula

    Chowla–Selberg_formula

  • Arthur–Selberg trace formula
  • In mathematics, the Arthur–Selberg trace formula is a generalization of the Selberg trace formula from the group SL2 to arbitrary reductive groups over

    Arthur–Selberg trace formula

    Arthur–Selberg_trace_formula

  • Selberg zeta function
  • The Selberg zeta-function was introduced by Atle Selberg (1956). It is analogous to the famous Riemann zeta function ζ ( s ) = ∏ p ∈ P 1 1 − p − s {\displaystyle

    Selberg zeta function

    Selberg_zeta_function

  • Standard L-function
  • Mathematical concept

    of L-functions, and in particular are expected to coincide with the Selberg class. Furthermore, all L-functions over arbitrary number fields are widely

    Standard L-function

    Standard_L-function

  • List of Norwegian mathematicians
  • (Martian crater) List of things named after Niels Henrik Abel Abel Prize Selberg class Weather forecasting Aanderaa–Karp–Rosenberg conjecture "Niels Henrik

    List of Norwegian mathematicians

    List_of_Norwegian_mathematicians

  • Motivic L-function
  • all arise as automorphic L-functions, and hence should be part of the Selberg class. There are also conjectures concerning the values of these L-functions

    Motivic L-function

    Motivic_L-function

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

    conversation with Landau, there was little basis for such speculation. However Selberg in the early 1950s proved a duality between the length spectrum of a Riemann

    Hilbert–Pólya conjecture

    Hilbert–Pólya_conjecture

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

    Drinfeld, formule des traces d'Arthur-Selberg et correspondance de Langlands." (Drinfeld shtukas, Arthur-Selberg trace formula and Langlands correspondence)

    Lafforgue's theorem

    Lafforgue's_theorem

  • Prime geodesic
  • Type of curve in geometry

    Audrey (2011). "Selberg zeta function". Zeta Functions of Graphs: A Stroll through the Garden. Cambridge: Cambridge University Press. Selberg, Atle (1956)

    Prime geodesic

    Prime_geodesic

  • Poisson summation formula
  • Equation in Fourier analysis

    non-commutative harmonic analysis, the idea is taken even further in the Selberg trace formula but takes on a much deeper character. A series of mathematicians

    Poisson summation formula

    Poisson_summation_formula

  • Modular lambda function
  • Symmetric holomorphic function

    Selberg, A. "On Epstein's Zeta-Function". EuDML. pp. 86–110. Berndt, Bruce C.; Chan, Heng Huat; Zhang, Liang-Cheng (6 June 1997). "Ramanujan's class invariants

    Modular lambda function

    Modular lambda function

    Modular_lambda_function

  • Fields Medal
  • Mathematics award

    the original on 8 April 2022. Retrieved 7 April 2019. "Remembering Atle Selberg, 1917–2007" (PDF). Ams.org. Archived (PDF) from the original on 23 November

    Fields Medal

    Fields Medal

    Fields_Medal

  • Sexy primes
  • Prime numbers which differ by 6

    quintuplet is (5,11,17,23,29). D.H.J. Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical

    Sexy primes

    Sexy_primes

  • James Arthur (mathematician)
  • Canadian mathematician (born 1944)

    is known for the Arthur–Selberg trace formula, generalizing the Selberg trace formula from the rank-one case (due to Selberg himself) to general reductive

    James Arthur (mathematician)

    James_Arthur_(mathematician)

  • Norway
  • Country in northern Europe

    logic, while Øystein Ore and Ludwig Sylow advanced group theory. Atle Selberg, a major figure in 20th-century mathematics, was honoured with the Fields

    Norway

    Norway

    Norway

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

    of the Erdős–Selberg proof of the PNT. This was the first machine-verified proof of the PNT. Avigad chose to formalize the Erdős–Selberg proof rather

    Prime number theorem

    Prime_number_theorem

  • Frobenius reciprocity
  • Duality between the process of restricting and inducting in representation theory

    overview of the subject of group representations. See Selberg trace formula and the Arthur-Selberg trace formula for generalizations to discrete cofinite

    Frobenius reciprocity

    Frobenius_reciprocity

  • Chen prime
  • Prime number p where p+2 is prime or semiprime

    Retrieved 2023-12-13. Ben Green and Terence Tao, Restriction theory of the Selberg sieve, with applications, Journal de Théorie des Nombres de Bordeaux 18

    Chen prime

    Chen_prime

  • Peter Sarnak
  • South African-born mathematician

    the existence of cusp forms led to the disproof of a conjecture of Atle Selberg. He has obtained the strongest known bounds towards the Ramanujan–Petersson

    Peter Sarnak

    Peter Sarnak

    Peter_Sarnak

  • List of algebraic number theory topics
  • Euler system p-adic L-function Arithmetic geometry Complex multiplication Abelian variety of CM-type Chowla–Selberg formula Hasse–Weil zeta function

    List of algebraic number theory topics

    List_of_algebraic_number_theory_topics

  • Large sieve
  • Math method

    of all residue classes of numbers are removed, as opposed to small sieves such as the Selberg sieve wherein only a few residue classes are removed. The

    Large sieve

    Large_sieve

  • Goldston–Pintz–Yıldırım sieve
  • (also called GPY sieve or GPY method) is a sieve method and variant of the Selberg sieve with generalized, multidimensional sieve weights. The sieve led to

    Goldston–Pintz–Yıldırım sieve

    Goldston–Pintz–Yıldırım_sieve

  • Parity problem
  • In number theory, a limitation of sieve theory

    prime-counting problems. The problem was identified and named by Atle Selberg in 1949. Beginning around 1996, John Friedlander and Henryk Iwaniec developed

    Parity problem

    Parity_problem

  • Isospectral
  • Linear operators with a common spectrum

    associated with quadratic extensions of the rationals by class field theory. In this case Selberg's trace formula shows that the spectrum of the Laplacian

    Isospectral

    Isospectral

  • Fundamental lemma of sieve theory
  • Theorem in analytic number theory

    to say, as has been asserted from time to time in the literature, that Selberg's sieve is always better than Brun's." Halberstam, Heini; Richert, Hans-Egon

    Fundamental lemma of sieve theory

    Fundamental_lemma_of_sieve_theory

  • Carl Ludwig Siegel
  • German mathematician (1896–1981)

    the greatest mathematician of the first half of the 20th century. Atle Selberg said of Siegel and his work: He was in some ways, perhaps, the most impressive

    Carl Ludwig Siegel

    Carl Ludwig Siegel

    Carl_Ludwig_Siegel

  • Symmetric space
  • (pseudo-)Riemannian manifold whose geodesics are reversible

    σy and sy = σx. (Selberg's assumption that σ2 should be an element of G was later shown to be unnecessary by Ernest Vinberg.) Selberg proved that weakly

    Symmetric space

    Symmetric space

    Symmetric_space

  • Arthur's conjectures
  • Mathematical concept

    groups over local fields. Arthur’s work, which was motivated by the Arthur–Selberg trace formula, suggests a framework for understanding complex relationships

    Arthur's conjectures

    Arthur's_conjectures

  • Dirichlet's theorem on arithmetic progressions
  • Theorem on the number of primes in arithmetic sequences

    theorem represents the beginning of rigorous analytic number theory. Atle Selberg gave an elementary proof of this theorem in 1949. Dirichlet's theorem is

    Dirichlet's theorem on arithmetic progressions

    Dirichlet's theorem on arithmetic progressions

    Dirichlet's_theorem_on_arithmetic_progressions

  • Wei Zhang (mathematician)
  • Chinese mathematician (born 1981)

    Sciences in 2023. "Automorphic period and the central value of Rankin-Selberg L-function", J. Amer. Math. Soc. 27 (2014), 541–612. "On arithmetic fundamental

    Wei Zhang (mathematician)

    Wei Zhang (mathematician)

    Wei_Zhang_(mathematician)

  • Closed geodesic
  • conjugacy classes of elements in the Fuchsian group of the surface. Lyusternik–Fet theorem Theorem of the three geodesics Curve-shortening flow Selberg trace

    Closed geodesic

    Closed_geodesic

  • Twin prime
  • Prime differing from another prime by two

    MR 3272929. S2CID 55175056. Polymath, D.H.J. (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical

    Twin prime

    Twin_prime

  • Langlands program
  • Conjectures connecting number theory and geometry

    on semisimple Lie groups, and in technical terms the trace formula of Selberg and others. What was new in Langlands' work, besides technical depth, was

    Langlands program

    Langlands_program

  • Midnight Sun Film Festival
  • Film festival in Sodankylä, Finland

    Mathieu Amalric, Lenny Abrahamson, Karim Aïnouz, Nicholas Meyer, Jonas Selberg Augustsén 2023: Sergei Loznitsa, Mary Sweeney, Emmanuel Mouret 2024: Leos

    Midnight Sun Film Festival

    Midnight Sun Film Festival

    Midnight_Sun_Film_Festival

  • Niels Henrik Abel
  • Norwegian mathematician (1802–1829)

    1899 to complement the Nobel Prizes, it was first awarded in 2003, while Selberg received an honorary Abel Prize the previous year. Mathematician Felix

    Niels Henrik Abel

    Niels Henrik Abel

    Niels_Henrik_Abel

  • Paul Erdős
  • Hungarian mathematician (1913–1996)

    Selberg. However, the circumstances leading up to the proofs, as well as publication disagreements, led to a bitter dispute between Erdős and Selberg

    Paul Erdős

    Paul Erdős

    Paul_Erdős

  • List of faculty members at the Institute for Advanced Study
  • denotes a lifetime appointment. Although they do not teach classes (because there are no classes at IAS), faculty hold the title of Professor, and often

    List of faculty members at the Institute for Advanced Study

    List_of_faculty_members_at_the_Institute_for_Advanced_Study

  • Fundamental lemma (Langlands program)
  • Theorem in abstract algebra

    strategy for proving local and global Langlands conjectures using the Arthur–Selberg trace formula, but in order for this approach to work, the geometric sides

    Fundamental lemma (Langlands program)

    Fundamental_lemma_(Langlands_program)

  • Gaussian ensemble
  • Random matrix with gaussian entries

    function Z β , N {\displaystyle Z_{\beta ,N}} is explicitly evaluated as a Selberg integral: Z β , N = ∫ R N e − β 4 ∑ i = 1 N λ i 2 ∏ 1 ≤ i < j ≤ N | λ i

    Gaussian ensemble

    Gaussian_ensemble

  • Linear group
  • Type of mathematical group

    finite. In particular, if it is finitely generated then it is finite. Selberg's lemma: any finitely generated linear group contains a torsion-free subgroup

    Linear group

    Linear_group

  • Riemann zeta function
  • Analytic function in mathematics

    function S(t) changes sign. Earlier similar results were obtained by Atle Selberg for the case H ≥ T 1 2 + ε . {\displaystyle H\geq T^{{\frac {1}{2}}+\varepsilon

    Riemann zeta function

    Riemann zeta function

    Riemann_zeta_function

  • Nevanlinna theory
  • Area of mathematics

    Cartan, Edward Collingwood, Otto Frostman, Frithiof Nevanlinna, Henrik Selberg, Tatsujiro Shimizu, Oswald Teichmüller, and Georges Valiron. In its original

    Nevanlinna theory

    Nevanlinna_theory

  • Prime gap
  • Difference between two successive prime numbers

    MR 3272929. S2CID 55175056. D.H.J. Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical

    Prime gap

    Prime_gap

  • Anatoly Karatsuba
  • Russian mathematician (1937–2008)

    H\geq T^{1/2+\varepsilon }} was proven by Atle Selberg earlier in 1942. The estimates of Atle Selberg and Karatsuba can not be improved in respect of

    Anatoly Karatsuba

    Anatoly Karatsuba

    Anatoly_Karatsuba

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

    in the years around 1960, in creating such a theory. The theory of the Selberg trace formula, as applied by others, showed the considerable depth of the

    Automorphic form

    Automorphic_form

  • Dedekind eta function
  • Mathematical function

    is available at the Wayback machine of Michael Somos' website. Chowla–Selberg formula Ramanujan–Sato series q-series Weierstrass elliptic function Partition

    Dedekind eta function

    Dedekind_eta_function

  • Chukyo Kinen
  • Horse race

    2022 Belenus 5 Atsuya Nishimura Haruki Sugiyama Carrot Farm 1:45.9 2023 Selberg 4 Kohei Matsuyama Takashi Suzuki Natsumi Kuwabata 1:33.0 2024 Al Naseem

    Chukyo Kinen

    Chukyo Kinen

    Chukyo_Kinen

  • Robert Langlands
  • Canadian mathematician

    than one, thus extending work of Hans Maass, Walter Roelcke, and Atle Selberg from the early 1950s for rank one groups such as S L ( 2 ) {\displaystyle

    Robert Langlands

    Robert Langlands

    Robert_Langlands

  • Behrend's trace formula
  • an example that shows the formula may be interpreted as a sort of the Selberg trace formula. A proof of the formula in the context of the six operations

    Behrend's trace formula

    Behrend's_trace_formula

  • Mock modular form
  • Complex-differentiable part of a Maass wave function

    decades, Ramanujan's mock theta functions were studied by Watson, Andrews, Selberg, Hickerson, Choi, McIntosh, and others, who proved Ramanujan's statements

    Mock modular form

    Mock_modular_form

  • Paul Winchell
  • American ventriloquist and actor (1922–2005)

    wife in an accident). In 1996, Winchell contracted with figure maker Tim Selberg to construct a more contemporary version of Jerry Mahoney, which Winchell

    Paul Winchell

    Paul Winchell

    Paul_Winchell

  • Canard (aeronautics)
  • Aircraft configuration in which a small wing is placed in front of the main wing

    (2001). Aircraft Structures and Systems (2nd ed.). MechAero Publishing. Selberg, Bruce P; Cronin, Donald L, Aerodynamic-Structural Study of Canard Wing

    Canard (aeronautics)

    Canard (aeronautics)

    Canard_(aeronautics)

  • Alexanderson Award
  • Mathematics award

    Zhu, Xinwen (2022). "On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives". Inventiones Mathematicae. 228 (1): 107–375. arXiv:1912.11942

    Alexanderson Award

    Alexanderson Award

    Alexanderson_Award

  • Regenerative medicine
  • Medical field involved in regenerating tissues

    doi:10.1517/14712598.2015.1051528. PMID 26067213. S2CID 25619787. Levin M, Selberg J, Rolandi M (20 December 2019). "Endogenous Bioelectrics in Development

    Regenerative medicine

    Regenerative medicine

    Regenerative_medicine

  • Freeman Dyson
  • British theoretical physicist and mathematician (1923–2020)

    Riemann zeta function. He showed his formula to the mathematician Atle Selberg, who said that it looked like something in mathematical physics and that

    Freeman Dyson

    Freeman Dyson

    Freeman_Dyson

  • Arithmetic Fuchsian group
  • Type of mathematical group

    algebras. Selberg's original statement was made only for congruence covers of the modular surface, and it has been verified for some small groups. Selberg himself

    Arithmetic Fuchsian group

    Arithmetic_Fuchsian_group

  • Larger sieve
  • Sieve invented by Patrick X. Gallagher

    the large sieve. Combinatorial sieves like the Selberg sieve are strongest, when only a few residue classes are removed, while the term large sieve means

    Larger sieve

    Larger_sieve

  • List of conjectures
  • conjecture on primitive roots number theory ⇐generalized Riemann hypothesis ⇐Selberg conjecture B Emil Artin 325 Bateman–Horn conjecture number theory Paul

    List of conjectures

    List_of_conjectures

  • List of people with given name David
  • Swedish-American songwriter David Sejusa (born 1954), Ugandan lawyer David Selberg (1995–2018), Swedish ice hockey player David Selby (born 1941), American

    List of people with given name David

    List_of_people_with_given_name_David

  • Barnes G-function
  • Extension of superfactorials to the complex numbers

    Vignéras, M. F. (1979). "L'équation fonctionelle de la fonction zêta de Selberg du groupe modulaire PSL ( 2 , Z ) {\displaystyle (2,\mathbb {Z} )} ". Astérisque

    Barnes G-function

    Barnes G-function

    Barnes_G-function

  • Sato–Tate conjecture
  • Mathematical conjecture about elliptic curves

    papers. Further results are conditional on improved forms of the Arthur–Selberg trace formula. Harris has a conditional proof of a result for the product

    Sato–Tate conjecture

    Sato–Tate_conjecture

  • Carlucci American International School of Lisbon
  • American school in Portugal

    Director Nate Chapman Secondary Principal Ted Fuller Principal Leslie Selberg Grades Pre-K — 12 Enrollment 750 Language English Colors Blue and red   

    Carlucci American International School of Lisbon

    Carlucci American International School of Lisbon

    Carlucci_American_International_School_of_Lisbon

  • Eugenio Calabi
  • Italian-born American mathematician (1923–2023)

    results such as Calabi and Vesentini's, along with related works by Atle Selberg and André Weil. Calabi and Lawrence Markus considered the problem of space

    Eugenio Calabi

    Eugenio Calabi

    Eugenio_Calabi

  • Finite difference
  • Discrete analog of a derivative

    general, exist. The Newton series, together with the Stirling series and the Selberg series, is a special case of the general difference series, all of which

    Finite difference

    Finite_difference

  • Explicit formulae for L-functions
  • Mathematical concept

    explicit formula of Weil via harmonic analysis on adelic spaces. Selberg trace formula Selberg zeta function The original prime counting function can easily

    Explicit formulae for L-functions

    Explicit_formulae_for_L-functions

  • Institute for Advanced Study
  • Postgraduate center in New Jersey, US

    Tsung-Dao Lee, Avishai Margalit, J. Robert Oppenheimer, Erwin Panofsky, Atle Selberg, John von Neumann, André Weil, Hermann Weyl, Frank Wilczek, Edward Witten

    Institute for Advanced Study

    Institute_for_Advanced_Study

  • Knut Ødegård
  • Norwegian poet

    received many prizes and awards for his literary work. Norway: Knight 1. class of the Royal Norwegian Order of Merit (1997) by the King of Norway Holy

    Knut Ødegård

    Knut Ødegård

    Knut_Ødegård

  • Bastian Prize
  • Norwegian literary award

    Middelthon 1981 : Anne-Lisa Amadou 1982 : Hans Aaraas 1983 : Ole Michael Selberg 1984 : Knut Ødegård 1985 : Herbert Svenkerud 1986 : Ivar Orgland 1987 :

    Bastian Prize

    Bastian_Prize

  • György Piller
  • Hungarian fencer (1899–1960)

    level. Some of his notable students included Daniel Magay, Maestro Charles Selberg and John McDougall. Piller died from a terminal illness in San Francisco

    György Piller

    György Piller

    György_Piller

  • Local Langlands conjectures
  • Mathematical conjectures in class field theory

    {\displaystyle \pi '} of general linear groups, there are local Rankin–Selberg convolution L-functions L ( s , π × π ′ ) {\displaystyle L(s,\pi \times

    Local Langlands conjectures

    Local_Langlands_conjectures

  • Multiplicative function
  • Function equal to the product of its values on coprime factors

    factorization of n {\displaystyle n} . See Selberg (1977). It is known that the classes of semimultiplicative and Selberg multiplicative functions coincide. They

    Multiplicative function

    Multiplicative_function

  • Pierre Colmez
  • French mathematician (born 1962)

    with complex multiplication, a far-reaching generalization of the Chowla-Selberg formula. A proof of Perrin-Riou's conjectural explicit reciprocity law

    Pierre Colmez

    Pierre Colmez

    Pierre_Colmez

  • Jimmy Nelson (ventriloquist)
  • American ventriloquist (1928–2019)

    collaborated in 2011 with maker of professional ventriloquist figures Tim Selberg to produce a character that pays homage to his Danny O’Day. He died on

    Jimmy Nelson (ventriloquist)

    Jimmy_Nelson_(ventriloquist)

  • List of Yale University people
  • Arthur (Ph.D. 1970), Wolf Prize medallist, mathematician known for Arthur-Selberg trace formula and Arthur conjectures Jeffrey Brock (B.A. 1992), Dean of

    List of Yale University people

    List_of_Yale_University_people

  • Number theory
  • Branch of pure mathematics

    analysis in 1896, but an elementary proof was found only in 1949 by Erdős and Selberg. The term is somewhat ambiguous. For example, proofs based on complex Tauberian

    Number theory

    Number theory

    Number_theory

  • Noncommutative harmonic analysis
  • Application of Fourier analysis to non-abelian topological groups

    continuous part. For semisimple groups, and classes of solvable Lie groups, a very detailed theory is available. Selberg trace formula Langlands program Kirillov

    Noncommutative harmonic analysis

    Noncommutative_harmonic_analysis

  • Representation theory
  • Branch of mathematics that studies abstract algebraic structures

    and Siegel modular forms. Important results in the theory include the Selberg trace formula and the realization by Robert Langlands that the Riemann–Roch

    Representation theory

    Representation theory

    Representation_theory

  • Timeline of mathematics
  • communication as it relates to living things and machines. 1948 – Atle Selberg and Paul Erdős prove independently in an elementary way the prime number

    Timeline of mathematics

    Timeline_of_mathematics

  • Arithmetic group
  • Type of group in group theory

    there was progress on the general theory of lattices in Lie groups by Atle Selberg, Grigori Margulis, David Kazhdan, M. S. Raghunathan and others. The state

    Arithmetic group

    Arithmetic group

    Arithmetic_group

  • Plancherel theorem for spherical functions
  • Representation theory

    by a cocompact (or cofinite) discrete subgroup. The original paper of Selberg (1956) implicitly invokes the spherical transform; it was Godement (1957)

    Plancherel theorem for spherical functions

    Plancherel_theorem_for_spherical_functions

  • Random matrix
  • Matrix-valued random variable

    Zβ,n is a normalization constant which can be explicitly computed, see Selberg integral. In the case of GUE (β = 2), the formula (1) describes a determinantal

    Random matrix

    Random_matrix

  • Congruence subgroup
  • Matrix group

    of automorphic forms: for example all modern treatments of the Arthur–Selberg trace formula are done in this adélic setting. The modular group is usually

    Congruence subgroup

    Congruence_subgroup

  • Wolf Prize in Mathematics
  • One of six awards by the Wolf Foundation

    his fundamental work in algebraic topology and homological algebra. Atle Selberg  Norway for his profound and original work on number theory and on discrete

    Wolf Prize in Mathematics

    Wolf_Prize_in_Mathematics

  • Dorian M. Goldfeld
  • American mathematician (born 1947)

    Friedberg, Solomon; Goldfeld, Dorian Poincaré series and Kloosterman sums. The Selberg trace formula and related topics (Brunswick, Maine, 1984), 39–49, Contemp

    Dorian M. Goldfeld

    Dorian M. Goldfeld

    Dorian_M._Goldfeld

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

    follows directly from more general conjectures like the Artin conjecture or Selberg orthonormality conjecture. The functional equation allows one to distinguish

    Dedekind zeta function

    Dedekind_zeta_function

  • University of Oslo
  • Norwegian public research university

    Dialect Archive Ernst S. Selmer - mathematician and cryptologist Atle Selberg - mathematician and Fields Medal winner Bård Guldvik Eithun - Norwegian

    University of Oslo

    University of Oslo

    University_of_Oslo

  • Aleksandar Ivić
  • Serbian mathematician and university teacher

    Tanigawa, Yoshio (1999). "On Riesz means of the coefficients of the Rankin-Selberg series". Mathematical Proceedings of the Cambridge Philosophical Society

    Aleksandar Ivić

    Aleksandar_Ivić

  • Kloosterman sum
  • Particular kind of exponential sum

    _{2^{\alpha -1}}+\zeta _{2^{\alpha -1}}^{-1}\right)} for 2α || m with α > 3. The Selberg identity: K ( a , b ; m ) = ∑ d ∣ gcd ( a , b , m ) d ⋅ K ( a b d 2 , 1

    Kloosterman sum

    Kloosterman_sum

  • Sug Woo Shin
  • Korean educator (born 1978)

    Harris and Shin resolved the dependencies on improved forms of the Arthur–Selberg trace formula in the conditional proofs of generalizations of the Sato–Tate

    Sug Woo Shin

    Sug_Woo_Shin

AI & ChatGPT searchs for online references containing SELBERG CLASS

SELBERG CLASS

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SELBERG CLASS

  • Seaberg
  • Surname or Lastname

    Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English

    Seaberg

    Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English : from a Middle English form of an Old English feminine personal name, Sǣburh, composed of the elements sǣ ‘sea’ + burh ‘fortified place’.Possibly also English : habitational name from Seaborough in Dorset (from Old English seofon ‘seven’ + beorg ‘hill’, ‘burial mound’) or possibly from Seaborough Hall in Essex.

    Seaberg

  • VALBERG
  • Male

    Icelandic

    VALBERG

    Short form of Icelandic Valbergur, VALBERG means "salvation of the slain in battle."

    VALBERG

  • Seabert
  • Boy/Male

    English

    Seabert

    Glory at sea.

    Seabert

  • Sebert
  • Boy/Male

    American, Anglo, British, English, French, German

    Sebert

    Glory at Sea; Shining Sea

    Sebert

  • Sellers
  • Surname or Lastname

    English (mainly Yorkshire)

    Sellers

    English (mainly Yorkshire) : patronymic from Seller 1–4.

    Sellers

  • Ayyash |
  • Boy/Male

    Muslim

    Ayyash |

    Bread seller

    Ayyash |

  • Elbert
  • Boy/Male

    English American German Teutonic

    Elbert

    noble.

    Elbert

  • Kalal
  • Boy/Male

    Indian, Sanskrit

    Kalal

    Wine Seller

    Kalal

  • Seabert
  • Boy/Male

    American, Anglo, Australian, British, English

    Seabert

    Glory at Sea; Sea Bright; Shining Sea

    Seabert

  • Seibert
  • Boy/Male

    British, English

    Seibert

    Bright Sea

    Seibert

  • Ayyash
  • Boy/Male

    Arabic, Muslim, Sindhi

    Ayyash

    Bread-seller

    Ayyash

  • Delbert
  • Boy/Male

    English American

    Delbert

    Bright day; sunny day; proud; noble.

    Delbert

  • Delbert
  • Boy/Male

    American, Anglo, Australian, British, Christian, English, French, Jamaican

    Delbert

    Sunny Day; Shining One; Bright Like Daytime; Bright Nobility; Modern

    Delbert

  • Elbert
  • Boy/Male

    American, British, Chinese, Christian, Dutch, English, French, German, Teutonic

    Elbert

    High-born; Brilliant; Shining; Bright; Famous; Bright Nobility

    Elbert

  • Seller
  • Surname or Lastname

    English and Scottish

    Seller

    English and Scottish : topographic name, a variant of Sell 1.English and Scottish : occupational name for a saddler, from Anglo-Norman French seller (Old French sellier, Latin sellarius, a derivative of sella ‘seat’, ‘saddle’).English and Scottish : metonymic occupational name for someone employed in the cellars of a great house or monastery, from Anglo-Norman French celler ‘cellar’ (Old French cellier), or a reduction of the Middle English agent derivative cellerer.English and Scottish : occupational name for a tradesman or merchant, from an agent derivative of Middle English sell(en) ‘to sell’ (Old English sellan ‘to hand over, deliver’).German : probably a habitational name from a place named Sella near Hoyerswerda.

    Seller

  • DELBERT
  • Male

    English

    DELBERT

    Probably a Middle English form of Anglo-Saxon Æðelbert, DELBERT means "bright nobility."

    DELBERT

  • Sember
  • Surname or Lastname

    English

    Sember

    English : variant of Semper.

    Sember

  • Sebert
  • Boy/Male

    English

    Sebert

    Glory at sea.

    Sebert

  • ELBERT
  • Male

    English

    ELBERT

    English variant spelling of French Albert, ELBERT means "bright nobility."

    ELBERT

  • Elbert
  • Boy/Male

    Christian & English(British/American/Australian)

    Elbert

    Nobly Brilliant

    Elbert

AI search queries for Facebook and twitter posts, hashtags with SELBERG CLASS

SELBERG CLASS

Follow users with usernames @SELBERG CLASS or posting hashtags containing #SELBERG CLASS

SELBERG CLASS

Online names & meanings

  • Amatya
  • Boy/Male

    Indian

    Amatya

    The Minister

  • Jaycee
  • Girl/Female

    American, Australian, British, Chinese, English

    Jaycee

    Attractive; Based on the Initials J C; An Abbreviation of Jacinda

  • Padmaraj | பத்மாராஜ
  • Boy/Male

    Tamil

    Padmaraj | பத்மாராஜ

    Padma is Lord venkateshwaras wife padmas Raja is therefore Lord venkateswara hence Padma Raj is another name of him. alternate names include Srinivas, Balaji, Venkatesh and Govinda

  • Uwaim
  • Boy/Male

    Arabic, Muslim

    Uwaim

    Name of a Sahabi who Took Part in the Battle of Badr

  • Roopindar
  • Boy/Male

    Hindu, Indian, Punjabi, Sikh

    Roopindar

    God of Beauty

  • Cyrus
  • Boy/Male

    Latin American Persian Biblical Greek

    Cyrus

    Sun.

  • Darminee
  • Girl/Female

    Hindu, Indian

    Darminee

    Happy

  • Basinah
  • Girl/Female

    Arabic, Muslim

    Basinah

    Kitty; Kitten

  • Saiua
  • Girl/Female

    British, English

    Saiua

    Thankful

  • Vasistha
  • Boy/Male

    Hindu, Indian, Kannada, Malayalam, Marathi

    Vasistha

    Name of a Sage

AI search & ChatGPT queries for Facebook and twitter users, user names, hashtags with SELBERG CLASS

SELBERG CLASS

Top AI & ChatGPT search, Social media, medium, facebook & news articles containing SELBERG CLASS

SELBERG CLASS

AI searchs for Acronyms & meanings containing SELBERG CLASS

SELBERG CLASS

AI searches, Indeed job searches and job offers containing SELBERG CLASS

Other words and meanings similar to

SELBERG CLASS

AI search in online dictionary sources & meanings containing SELBERG CLASS

SELBERG CLASS

  • Cheap-john
  • n.

    A seller of low-priced or second goods; a hawker.

  • Fruiterer
  • n.

    One who deals in fruit; a seller of fruits.

  • Vendor
  • n.

    A vender; a seller; the correlative of vendee.

  • Costermonger
  • n.

    An apple seller; a hawker of, or dealer in, any kind of fruit or vegetables; a fruiterer.

  • Rehibition
  • n.

    The returning of a thing purchased to the seller, on the ground of defect or frand.

  • News-vnder
  • n.

    A seller of newspapers.

  • Chaunter
  • n.

    A street seller of ballads and other broadsides.

  • Vintner
  • n.

    One who deals in wine; a wine seller, or wine merchant.

  • Seller
  • n.

    One who sells.

  • Contango
  • n.

    The postponement of payment by the buyer of stock on the payment of a premium to the seller. See Backwardation.

  • Pardoner
  • n.

    A seller of indulgences.

  • Chandler
  • n.

    A maker or seller of candles.

  • Chapman
  • n.

    One who buys and sells; a merchant; a buyer or a seller.

  • Carpetmonger
  • n.

    One who deals in carpets; a buyer and seller of carpets.

  • Woodmonger
  • n.

    A wood seller.

  • Chowder
  • n.

    A seller of fish.