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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
Conjecture on zeros of the zeta function
The Selberg trace formula is the analogue for these functions of the explicit formulas in prime number theory. Selberg proved that the Selberg zeta functions
Riemann_hypothesis
Topics referred to by the same term
Selberg may refer to: Arne Selberg (1910–1989), Norwegian engineer Atle Selberg (1917–2007), Norwegian mathematician, after whom several mathematical
Selberg
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
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
Selberg_class
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
Mathematical function
In mathematics, the Selberg integral is a generalization of Euler beta function to n dimensions introduced by Atle Selberg. It has applications in statistical
Selberg_integral
German beauty pageant titleholder
Jasmin Selberg (born 11 August 1999) is a German beauty pageant titleholder who was crowned Miss International 2022. Jasmin Selberg was born 11 August
Jasmin_Selberg
American musician
Shannon Scott Selberg (born June 3, 1960) is a noise/punk rock musician known for his unusual antics on stage. Formerly the frontman for the Minneapolis-based
Shannon_Selberg
American sculptor
Timothy Selberg (born in Waterford, Michigan) is a sculptor of three-dimensional carved mechanized figures, most of which are specifically used in the
Tim_Selberg
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
Generalized Riemann hypothesis
Generalized_Riemann_hypothesis
Approximate identity involving logarithms of primes
In number theory, Selberg's identity is an approximate identity involving logarithms of primes found by Atle Selberg. The identity forms the crucial starting
Selberg's_identity
Mathematical conjecture about eigenvalues
In mathematics, Selberg's conjecture, also known as Selberg's eigenvalue conjecture, conjectured by Selberg (1965, p. 13), states that the eigenvalues
Selberg's_1/4_conjecture
Estimate size of sifted sets
In number theory, the Selberg sieve is a technique for estimating the size of "sifted sets" of positive integers which satisfy a set of conditions which
Selberg_sieve
Norwegian civil engineer (1910–1989)
Brigtsdatter Skeie. He was twin brother of Sigmund Selberg and brother of Henrik Selberg and Atle Selberg. He was appointed professor at the Norwegian Institute
Arne_Selberg
Swedish ice hockey player (1995–2018)
David Selberg (16 June 1995 – 17 June 2018) was a Swedish ice hockey defenceman. He played with Luleå HF of the Swedish Hockey League (SHL). Selberg made
David_Selberg
Eisenstein series relations
In mathematics, the Maass–Selberg relations are some relations describing the inner products of truncated real analytic Eisenstein series, that in some
Maass–Selberg_relations
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
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
In mathematics, the Rankin–Selberg method, introduced by Rankin (1939) and Selberg (1940), also known as the theory of integral representations of L-functions
Rankin–Selberg_method
Norwegian mathematician
Brigtsdatter Skeie. He was twin brother of Arne Selberg and brother of Henrik Selberg and Atle Selberg. He was appointed professor of mathematics at the
Sigmund_Selberg
Norwegian mathematician
Henrik Selberg (17 February 1906 – 3 September 1993) was a Norwegian mathematician. He was born in Bergen as the son of Ole Michael Ludvigsen Selberg and
Henrik_Selberg
Norwegian mathematician (1877–1950)
Ole Michael Ludvigsen Selberg (7 October 1877 – 11 December 1950) was a Norwegian mathematician and educator. He was born in the Eikefjord area of the
Ole_Michael_Ludvigsen_Selberg
In mathematics, the Selberg conjecture, named after Atle Selberg, is a theorem about the density of zeros of the Riemann zeta function ζ(1/2 + it). It
Selberg's zeta function conjecture
Selberg's_zeta_function_conjecture
Search engine
engine. It is a registered trademark of InfoSpace and was created by Erik Selberg. It was originally a metasearch engine, as its name suggests. Throughout
MetaCrawler
Characterization of how many integers are prime
primes p. By July of that year, Selberg and Paul Erdős had each obtained elementary proofs of the PNT, both using Selberg's asymptotic formula as a starting
Prime_number_theorem
American noise rock band
in 1999, as a collaboration between Shannon Selberg, George Porfiris, Norman Westberg and John Fell. Selberg predominantly has been the band's songwriter
The_Heroine_Sheiks
subclass of the Sheffer polynomials, which include the Newton polynomials, Selberg's polynomials, and the Stirling interpolation polynomials as special cases
Difference_polynomials
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
Norwegian architect
Knut Atle Selberg (born 1949, in Norway) is a planner, architect, and urban designer with the Selberg Arkitektkontor AS since 1996. Selberg received his
Knut_Selberg
Online information retrieval tool
incorporate the idea of meta searching was University of Washington student Eric Selberg, who published a paper about his MetaCrawler experiment in 1995. The search
Metasearch_engine
The Selberg is a hill, 545.1 m, in the district of Kusel in the German state of Rhineland-Palatinate. It is part of the North Palatine Uplands and is
Selberg_(Kusel)
Beauty pageant competition, Organization
Huỳnh Thị Thanh Thủy, Vietnam 2023, Andrea Rubio, Venezuela 2022, Jasmin Selberg, Germany 2019, Sireethorn Leearamwat, Thailand 2017, Kevin Lilliana,
Miss_International
Post-hardcore/noise band from Minnesota, active 1987–1998
1990. Shannon Selberg became Cows’ front man in February 1987, providing both vocal and bugle duties. After disbanding, Shannon Selberg went on to front
Cows_(band)
Bound on probability of a random variable being far from its mean
variables). Several extensions of Chebyshev's inequality have been developed. Selberg derived a generalization to arbitrary intervals. Suppose X {\displaystyle
Chebyshev's_inequality
Local election in South Dakota, US
Smith) David Zokaites, data analyst and 2022 mayoral candidate Marshall Selberg, former city councilmember (endorsed Erickson) Christine Erickson Statewide
2026 Sioux Falls mayoral election
2026_Sioux_Falls_mayoral_election
60th Miss International competition, beauty pageant edition
on 13 December 2022. Sireethorn Leearamwat of Thailand crowned Jasmin Selberg of Germany as her successor at the end of the event. The coronation was
Miss_International_2022
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
zeta function, alternative names for the Z function Ruelle zeta function Selberg zeta function of a Riemann surface Shimizu L-function Shintani zeta function
List_of_zeta_functions
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
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
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
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
61st Miss International pageant
National Gymnasium in Shibuya, Tokyo, Japan, on 26 October 2023. Jasmin Selberg of Germany crowned Andrea Rubio of Venezuela as her successor at the end
Miss_International_2023
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
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
Meromorphic function on the complex plane
today referred to as the Selberg class. The overarching hypothesis and the motivating background for the definition of the Selberg class is the so-called
L-function
Decomposition of an integer as a sum of positive integers
6.159. Zbl 0071.04004. (Provides the Selberg formula. The older form is the finite Fourier expansion of Selberg.) "Partition", Encyclopedia of Mathematics
Integer_partition
1992 studio album by Cows
The Chicago Sun-Times wrote that "the music is jarring and [Shannon] Selberg's howling is initially user-unfriendly, yet his disturbed lyrics are undeniable
Cunning_Stunts_(Cows_album)
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
1970 mathematics text by Jacquet and Landlands
by Jacquet (1972) gives an interpretation of some results by Rankin and Selberg in terms of the representation theory of GL(2) × GL(2). Godement, R. (1970)
Automorphic_Forms_on_GL(2)
South Korean beauty pageant titleholder (born 1999)
January 2026, her friend, Miss International 2022 Jasmin Selberg, publicly spoke in her defense. Selberg stated that Choi’s on-screen behavior reflected a role
Choi_Mina_Sue
1988 film by Marisa Silver
McBain, Drama Teacher Lou Reed as himself Sam Vlahos as Mr. Townsend David Selberg as Dr. Moss, School Superintendent Ron Jaxon as Woody Kevin Brown as Tiny
Permanent_Record_(film)
zeta function associated with a finite graph. It closely resembles the Selberg zeta function, and is used to relate closed walks to the spectrum of the
Ihara_zeta_function
Japanese Thoroughbred racehorse
Chukyo Kinen 3 1,600 m (Firm) 16 12 9.1 (4) 12th 1:34.2 1.2 Kazuo Yokoyama Selberg Nov 19 Kyoto Mile Championship 1 1,600 m (Firm) 16 3 191.8 (15) 13th 1:34
Danon_Scorpion
Pedestrian bridge in Norway
109 m (358 ft) Longest span 40 m (130 ft) History Architect Vebjørn Sand Selberg Architects Designer Leonardo da Vinci Engineering design by AFRY (Reinertsen
Vebjørn_Sand_Da_Vinci_Project
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
Trinidad and Tobago playwright (1939–2019)
divorce. He was subsequently married to Ingrid Selberg, daughter of Norwegian mathematician Atle Selberg, with whom he had two children, Cayal and Maya
Mustapha_Matura
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
Topics referred to by the same term
Trace formula may refer to: Arthur–Selberg trace formula, also known as invariant trace formula, Jacquet's relative trace formula, simple trace formula
Trace_formula
59th Binibining Pilipinas pageant
engineer and the youngest son of Philippine president, Bongbong Marcos Jasmin Selberg – Miss International 2022 from Germany Peter Zwiener – President and Co-Founder
Binibining_Pilipinas_2023
known for being Abel's teacher and tutor, Sophus Lie, Idun Reiten, Atle Selberg, Thoralf Skolem and Carl Størmer. "Aa" appears under "å" as they are considered
List of Norwegian mathematicians
List_of_Norwegian_mathematicians
Expresses a Gauss sum using a product of values of the p-adic gamma function
of values of the p-adic gamma function. It is an analog of the Chowla–Selberg formula for the usual gamma function. It implies the Hasse–Davenport relation
Gross–Koblitz_formula
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
(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
Series of public experiments on mass collaboration in mathematics
From the Polymath8 project. Polymath, D.H.J. (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical
Polymath_Project
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
French mathematician
Drinfeld, formule des traces d'Arthur-Selberg et correspondance de Langlands. [Drinfelʹd shtukas, Arthur-Selberg trace formula and Langlands correspondence]
Laurent_Lafforgue
Mathematical series
D(u, 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
Dirichlet_series
2014 Emerita 2014- Nathan Seiberg theoretical physicist 1997 current Atle Selberg mathematician 1951 1987 Emeritus 1987-2007 Kenneth M. Setton medieval historian
List of faculty members at the Institute for Advanced Study
List_of_faculty_members_at_the_Institute_for_Advanced_Study
Langlands (1970, section 16) in their book Automorphic Forms on GL(2) using the Selberg trace formula. It was one of the first examples of the Langlands philosophy
Jacquet–Langlands correspondence
Jacquet–Langlands_correspondence
Norwegian international mathematics prize
beginning in 2002, the two-hundredth anniversary of Abel's birth. Atle Selberg received an honorary Abel Prize in 2002, but the first actual Abel Prize
Abel_Prize
Math method
classes of numbers are removed, as opposed to small sieves such as the Selberg sieve wherein only a few residue classes are removed. The method has been
Large_sieve
Road bridge in Drammen, Norway
Palamedes Press. p. 50. Selberg, Arne; Aune, Petter; Holand, Ivar (1981). Norwegian Bridge Building : A Volume Honouring Arne Selberg. Trondheim: Tapir. p
Drammen_Bridge
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
Melodi Grand Prix 2023". dr.dk (in Danish). DR. Retrieved 11 February 2023. Selberg, Jonas (8 September 2022). "Indsend dit hit til Dansk Melodi Grand Prix
Denmark in the Eurovision Song Contest 2023
Denmark_in_the_Eurovision_Song_Contest_2023
List of Miss International winners (1960–present)
International 2023 Andrea Rubio, Venezuela Miss International 2022 Jasmin Selberg, Germany Miss International 2019 Sireethorn Leearamwat, Thailand Miss International
List of Miss International titleholders
List_of_Miss_International_titleholders
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
There is a prime between any two square numbers
(389): 22–63, doi:10.1515/crll.1988.389.22, MR 0953665, S2CID 118979018 Selberg, Atle (1943), "On the normal density of primes in small intervals, and
Legendre's_conjecture
1993 studio album by Cows
Eisentrager – guitar Norm Rogers – drums Kevin Rutmanis – bass guitar Shannon Selberg – vocals, bugle Production and additional personnel Iain Burgess – production
Sexy_Pee_Story
Application of Fourier analysis to non-abelian topological groups
and classes of solvable Lie groups, a very detailed theory is available. Selberg trace formula Langlands program Kirillov orbit theory Discrete series representation
Noncommutative harmonic analysis
Noncommutative_harmonic_analysis
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
Davis Kamarudin Yudharman Group 10: Hiroshi Takenaka Jimmy Henry Stefan Selberg Kevin Hew Group 11: Akikumo Toshikawa Marc Holtz [de] Raj Hundal Siauw
2004 WPA World Nine-ball Championship
2004_WPA_World_Nine-ball_Championship
Indian mathematician (born 1976)
L-functions. Later he extended his method to the case of GL(3)xGL(2) Rankin-Selberg convolutions. These cases were earlier considered beyond the reach of known
Ritabrata_Munshi
Venezuelan model and beauty pageant winner
Awards and achievements Preceded by Jasmin Selberg Miss International 2023 Succeeded by Huỳnh Thị Thanh Thủy Preceded by Isbel Parra Miss Venezuela International
Andrea_Rubio
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)
pages, for a total of 890 pages. 1983 – Selberg trace formula. Hejhal's proof of a general form of the Selberg trace formula consisted of 2 volumes with
List of long mathematical proofs
List_of_long_mathematical_proofs
Rügen Sehlen Bergen auf Rügen Rügen Seidel Köslin Wyszewo Manowo Koszalin Selberg B Rummels-burg Nowy Żelibórz Polanów Koszalin Selchow Greifen-hagen Żelechowo
List of municipalities in the Province of Pomerania
List_of_municipalities_in_the_Province_of_Pomerania
Film festival in Locarno, Switzerland
Filomarino Film und Video Untertitelung Prize: Höstmannen directed by Jonas Selberg Augustsén Pardino d’oro for the Best Swiss Short Film: Kwa Heri Mandima
63rd_Locarno_Film_Festival
1989 studio album by Cows
Eisentrager – guitar Tony Oliveri – drums Kevin Rutmanis – bass guitar Shannon Selberg – vocals Production and additional personnel Cows – production David B
Daddy_Has_a_Tail!
Symmetric holomorphic function
gamma function for any x ∈ Q + {\displaystyle x\in \mathbb {Q} ^{+}} , as Selberg and Chowla proved in 1949. The following expression is valid for all n
Modular_lambda_function
Mathematical concept
the Langlands Program are Rankin-Selberg products of representations of GL(m) and GL(n). The resulting Rankin-Selberg L-functions satisfy a number of analytic
Automorphic_L-function
German mathematician (1911–1992)
wave forms (Maass 1949) and Koecher–Maass series (Maass 1950) and Maass–Selberg relations and who proved most of the Saito–Kurokawa conjecture. Maass was
Hans_Maass
Ramanujan–Petersson conjecture Birch and Swinnerton-Dyer conjecture Automorphic form Selberg trace formula Artin conjecture Sato–Tate conjecture Langlands program modularity
List_of_number_theory_topics
Filipina actress and politician
Philippines (Visayas), she was also proclaimed Ambassador of Humanity. Jasmin Selberg "Cristina Gonzales Romualdez: The woman, the mayor and the mom". Archived
Cristina_Gonzales
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
1990 studio album by Cows
Eisentrager – guitar Tony Oliveri – drums Kevin Rutmanis – bass guitar Shannon Selberg – vocals, bugle Production and additional personnel Cows – production Tim
Effete_and_Impudent_Snobs
Scottish mathematician
in modular forms. In 1939 he developed what is now known as the Rankin–Selberg method. In 1977 Cambridge University Press published Rankin's Modular Forms
Robert_Alexander_Rankin
Degrees of separation from Paul Erdős
medalists is as low as 3. Fields medalists with Erdős number 2 include Atle Selberg, Kunihiko Kodaira, Klaus Roth, Alan Baker, Enrico Bombieri, David Mumford
Erdős_number
German model and beauty queen
Kristyna Losova Miss Earth Germany 2020 Succeeded by Maike Damrat Preceded by Franciska Acs Miss International Germany 2019 Succeeded by Jasmin Selberg
Annabella_Fleck
SELBERG
SELBERG
SELBERG
SELBERG
Girl/Female
Hindu, Indian, Marathi, Tamil
Early Winter; With Golden Body
Boy/Male
Welsh
farmer'.
Girl/Female
Assamese, Indian, Tamil, Telugu
Wealth-full
Girl/Female
Tamil
Hitansi | ஹிதாஂஸீ
Simplicity and purity
Girl/Female
Indian, Sanskrit
Rich in Buffaloes
Girl/Female
Arabic, Hindu, Indian, Kannada, Malayalam, Marathi, Muslim, Telugu
Season
Girl/Female
Tamil
Energetic, Brilliant
Boy/Male
Tamil
King, Shantanus father
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Telugu
Long Life
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil
Bright Girl; Very Fast; Radiant
SELBERG
SELBERG
SELBERG
SELBERG
SELBERG