• Thumbnail for Atle Selberg
    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...
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  • The Selberg zeta-function was introduced by Atle Selberg (1956). It is analogous to the famous Riemann zeta function ζ(s)=∏p∈P11−p−s{\displaystyle \zeta...
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  • Selberg may refer to: Arne Selberg (1910–1989), Norwegian engineer Atle Selberg (1917–2007), Norwegian mathematician, after whom several mathematical...
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  • space is a compact Riemann surface S. The initial publication in 1956 of Atle Selberg dealt with this case, its Laplacian differential operator and its powers...
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  • Thumbnail for Selberg sieve
    expressed by congruences. It was developed by Atle Selberg in the 1940s. In terms of sieve theory the Selberg sieve is of combinatorial type: that is, derives...
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  • Thumbnail for Riemann hypothesis
    S2CID 119290777 Selberg, Atle (1942), "On the zeros of Riemann's zeta-function", SKR. Norske Vid. Akad. Oslo I., 10: 59 pp, MR 0010712 Selberg, Atle (1946), "Contributions...
    125 KB (16,739 words) - 17:32, 16 April 2024
  • automorphic forms and the Riemann hypothesis. The class was defined by Atle Selberg in (Selberg 1992), who preferred not to use the word "axiom" that later authors...
    11 KB (1,661 words) - 00:55, 26 December 2022
  • In mathematics, the Selberg integral is a generalization of Euler beta function to n dimensions introduced by Atle Selberg. When Re(α)>0,Re(β)>0,Re(γ)>−min(1n...
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  • Selberg's identity is an approximate identity involving logarithms of primes named after Atle Selberg. The identity, discovered jointly by Selberg and...
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  • Maass introduced the Maass–Selberg relations for the case of real analytic Eisenstein series on the upper half plane. Atle Selberg extended the relations...
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  • awarded 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...
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  • Riemann's example can be seen as a special case. Robert Alexander Rankin and Atle Selberg independently constructed their convolution L-functions, now thought...
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  • different proofs of it were found, including the "elementary" proofs of Atle Selberg and Paul Erdős (1949). Hadamard's and de la Vallée Poussin's original...
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  • Thumbnail for Ole Michael Ludvigsen Selberg
    Kristina Brigtsdatter Skeie, and the father of Sigmund, Arne, Henrik and Atle Selberg. His thesis from 1925 treated the theory of algebraic equations. Three...
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  • 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...
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  • Anna Kristina Brigtsdatter Skeie. He was a brother of Sigmund, Arne and Atle Selberg. He was appointed professor at the University of Oslo from 1962 to 1973...
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  • applying harmonic analysis to number theory, most notably Martin Eichler, Atle Selberg, Robert Langlands, and James Arthur, have generalised the Poisson summation...
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  • band Above Symmetry Atle Selberg (1917–2007), Norwegian mathematician Atle Skårdal (born 1966), Norwegian alpine ski racer Pål Atle Skjervengen (born 1960)...
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  • Thumbnail for Paul Erdős
    the first elementary proof for the prime number theorem, along with Atle Selberg. However, the circumstances leading up to the proofs, as well as publication...
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  • is 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...
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  • Knut Atle Selberg (born 1949, in Norway) is a planner, architect, and urban designer with the Selberg Arkitektkontor AS since 1996. Selberg received his...
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  • Thumbnail for Norway
    Øystein Ore and Ludwig Sylow made important contributions in group theory. Atle Selberg was one of the most significant mathematicians of the 20th century, for...
    204 KB (19,745 words) - 20:49, 19 April 2024
  • In mathematics, Selberg's conjecture, also known as Selberg's eigenvalue conjecture, conjectured by Selberg (1965, p. 13), states that the eigenvalues...
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  • Thumbnail for Anatoly Karatsuba
    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...
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  • 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...
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  • ^{-3/4}\Gamma ({\tfrac {1}{4}})} Multiplication theorem Chowla, S.; Selberg, Atle (1949), "On Epstein's zeta function. I", Proceedings of the National...
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  • Thumbnail for Erdős number
    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...
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  • of prime-counting problems. The problem was identified and named by Atle Selberg in 1949. Beginning around 1996, John Friedlander and Henryk Iwaniec developed...
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  • Number Theory, Trace Formulas and Discrete Groups: Symposium in Honor of Atle Selberg, Oslo, Norway, July 14–21, 1987. Boston, Massachusetts: Academic Press...
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  • Thumbnail for Fields Medal
    from 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...
    90 KB (4,917 words) - 17:33, 5 April 2024