• Thumbnail for Carl Ludwig Siegel
    Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was a German mathematician specialising in analytic number theory. He is known for, amongst other...
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  • complex variables. Siegel modular forms were first investigated by Carl Ludwig Siegel (1939) for the purpose of studying quadratic forms analytically. These...
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  • analytic number theory, the Siegel–Walfisz theorem was obtained by Arnold Walfisz as an application of a theorem by Carl Ludwig Siegel to primes in arithmetic...
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  • theory, a Landau–Siegel zero or simply Siegel zero, also known as exceptional zero), named after Edmund Landau and Carl Ludwig Siegel, is a type of potential...
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  • Joseph Liouville in 1844 and continuing with work of Axel Thue (1909), Carl Ludwig Siegel (1921), Freeman Dyson (1947), and Klaus Roth (1955). Roth's theorem...
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  • Pigeonhole principle. Carl Ludwig Siegel published his lemma in 1929. It is a pure existence theorem for a system of linear equations. Siegel's lemma has been...
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  • over any given number field. The theorem was first proved in 1929 by Carl Ludwig Siegel and was the first major result on Diophantine equations that depended...
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  • Thumbnail for Siegel modular variety
    precisely, Siegel modular varieties are the moduli spaces of principally polarized abelian varieties of a fixed dimension. They are named after Carl Ludwig Siegel...
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  • Thumbnail for Bessel function
    other than the one at x = 0. The hypothesis was proved by Carl Ludwig Siegel in 1929. Siegel proved in 1929 that when ν is rational, all nonzero roots...
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  • Carl Ludwig Siegel (1896–1981), German mathematician Corky Siegel (born 1943), American harmonica player in the Siegel–Schwall Band David Siegel (disambiguation)...
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  • to E-functions is the Siegel–Shidlovsky theorem (also known as the Siegel and Shidlovsky theorem), named after Carl Ludwig Siegel and Andrei Borisovich...
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  • Thumbnail for Kurt Mahler
    Wolfgang Goethe University of Frankfurt am Main in 1927; his advisor was Carl Ludwig Siegel. He left Germany with the rise of Adolf Hitler and accepted an invitation...
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  • In mathematics, the Brauer–Siegel theorem, named after Richard Brauer and Carl Ludwig Siegel, is an asymptotic result on the behaviour of algebraic number...
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  • to the exponential function," was given the name "E-functions" by Carl Ludwig Siegel. Among these functions are such special functions as the hypergeometric...
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  • Thumbnail for Göttingen
    Reidemeister (1893–1971), mathematician, worked on differential geometry Carl Ludwig Siegel (1896–1981), mathematician, worked on analytic number theory Max Deuring...
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  • (1798–1885), mathematician Herman Schwarz (1843–1921), mathematician Carl Ludwig Siegel (1896–1981), mathematician Roland Sprague (1894–1967), mathematician...
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  • Thumbnail for Emmy Noether
    her lectures were considered difficult to follow by many, including Carl Ludwig Siegel and Paul Dubreil. Students who disliked her style often felt alienated...
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  • Thumbnail for Damodar Dharmananda Kosambi
    Hermann Weyl, John von Neumann, Marston Morse, Oswald Veblen and Carl Ludwig Siegel amongst others. After his return to India, in the Cold War circumstances...
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  • In mathematics, the Siegel parabolic subgroup, named after Carl Ludwig Siegel, is the parabolic subgroup of the symplectic group with abelian radical...
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  • Thumbnail for André Weil
    received his doctorate in 1928. While in Germany, Weil befriended Carl Ludwig Siegel. Starting in 1930, he spent two academic years at Aligarh Muslim University...
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  • under Franz Rellich. After his thesis, he came under the influence of Carl Ludwig Siegel, with whom he coauthored the second and considerably expanded English...
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  • r2 = 0; e.g. Q or a real quadratic field). In the totally real case, Carl Ludwig Siegel showed that ζK(s) is a non-zero rational number at negative odd integers...
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  • Thumbnail for Arnold Walfisz
    and three books. By using a theorem by Carl Ludwig Siegel providing an upper bound for the real zeros (see Siegel zero) of Dirichlet L-functions formed...
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  • conjectured that there are infinitely many regular primes. More precisely Carl Ludwig Siegel (1964) conjectured that e−1/2, or about 60.65%, of all prime numbers...
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  • Thumbnail for Geometry of numbers
    many number theorists (including Louis Mordell, Harold Davenport and Carl Ludwig Siegel). In recent years, Lenstra, Brion, and Barvinok have developed combinatorial...
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  • working on a problem relating to the work of the German number theorist Carl Ludwig Siegel. In the course of proving the main result to the effect that every...
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  • explicitly calculated and worked with. A breakthrough by Axel Thue and Carl Ludwig Siegel in the twentieth century was the realisation that these functions...
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  • Thumbnail for Teiji Takagi
    first recognized by Emil Artin in 1922, and was again pointed out by Carl Ludwig Siegel, and at the same time by Helmut Hasse, who lectured in Kiel in 1923...
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  • Thumbnail for List of people by Erdős number
    Shokrollahi Chi-Wang Shu Michael Shub Mikhail Shubin Laurent C. Siebenmann Carl Ludwig Siegel Joseph Sifakis Israel Michael Sigal Roman Sikorski Jack Silver Alice...
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  • Thumbnail for Edmund Landau
    Gustav Doetsch Hans Heilbronn Grete Hermann Dunham Jackson Erich Kamke Aubrey Kempner Alexander Ostrowski Carl Ludwig Siegel Arnold Walfisz Vojtěch Jarník...
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