• 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...
    12 KB (1,665 words) - 06:36, 27 June 2024
  • 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...
    10 KB (1,159 words) - 17:42, 20 August 2024
  • 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...
    28 KB (3,934 words) - 23:22, 11 September 2024
  • Carl Ludwig Siegel (1896–1981), German mathematician Corky Siegel (born 1943), American harmonica player in the Siegel–Schwall Band David Siegel (disambiguation)...
    7 KB (779 words) - 03:15, 22 September 2024
  • integers O of K, provided g > 0. The theorem was first proved in 1929 by Carl Ludwig Siegel and was the first major result on Diophantine equations that depended...
    3 KB (361 words) - 13:03, 13 June 2024
  • to E-functions is the Siegel–Shidlovsky theorem (also known as the Siegel and Shidlovsky theorem), named after Carl Ludwig Siegel and Andrei Borisovich...
    5 KB (611 words) - 21:37, 16 September 2024
  • 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...
    2 KB (350 words) - 14:11, 6 November 2023
  • 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...
    71 KB (11,565 words) - 10:06, 17 September 2024
  • box 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...
    4 KB (469 words) - 10:40, 3 October 2024