• 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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  • 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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  • 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 (1,738 words) - 00:55, 26 December 2022
  • 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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  • 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...
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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...
    126 KB (16,771 words) - 06:34, 14 September 2024
  • 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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  • 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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  • In mathematics, the Selberg integral is a generalization of Euler beta function to n dimensions introduced by Atle Selberg. When R e ( α ) > 0 , R e (...
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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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  • 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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  • 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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  • ^{-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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  • together with two other ways of deducing it from results of Erdős and of Atle Selberg. Delange, Hubert (1958), "On some arithmetical functions", Illinois Journal...
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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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  • 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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  • 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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  • 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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  • 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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  • 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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  • 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 Anatoly Karatsuba
    {\displaystyle 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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  • 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...
    50 KB (5,338 words) - 08:57, 13 September 2024
  • 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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  • 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...
    230 KB (21,167 words) - 05:16, 13 September 2024
  • 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 (4,932 words) - 02:56, 29 August 2024
  • Thumbnail for Carl Ludwig Siegel
    as 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...
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