Carl Ludwig Siegel was a German mathematician, born on 31 December 1896 and died on 4 April 1981, who specialised in analytic number theory. He is known for his contributions to the Thue-Siegel-Roth theorem in diophantine approximation, for Siegel's method and Siegel's lemma, and for the Siegel mass formula for quadratic forms. He has been named one of the most important mathematicians of the twentieth century, and Andre Weil named him without hesitation as the greatest mathematician of the first half of that century.
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Source Carl Ludwig Siegel (Wikipedia)
Mentored
Source Kurt Mahler (Wikipedia)
Proofs Credited
Source Brauer-Siegel theorem (Wikipedia)
Source Siegel's theorem on integral points (Wikipedia)
Source Siegel-Walfisz theorem, Wikipedia
Source Roth's Theorem (Thue-Siegel-Roth) (Wikipedia)
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1. Carl Ludwig Siegel (Wikipedia)
Lead paragraph
He is known for, amongst other things, his contributions to the
Lead paragraph [nationality-culture]
was a German mathematician
In Branch: Analytic Number Theory, Lead paragraph [in-branch]
analytic number theory
View the SourceSiegel-Walfisz theorem, Wikipedia
Proofs Credited: Siegel-Walfisz Theorem, Lead paragraphQuote, Proofs Credited: Siegel-Walfisz Theorem, Lead paragraph
In 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
Roth's Theorem (Thue-Siegel-Roth) (Wikipedia)
Wikimedia FoundationProofs Credited: Thue's Theorem, Lead paragraphQuote, Proofs Credited: Thue's Theorem, Lead paragraph
In mathematics, Roth's theorem or Thue-Siegel-Roth theorem is a fundamental result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating
Siegel's theorem on integral points (Wikipedia)
Proofs Credited: Siegel's Theorem on Integral Points, Lead paragraphQuote, Proofs Credited: Siegel's Theorem on Integral Points, Lead paragraph
In mathematics, Siegel's theorem on integral points states that a curve of genus greater than zero has only finitely many integral points over
Brauer-Siegel theorem (Wikipedia)
Proofs Credited: Brauer-Siegel Theorem, Lead paragraphQuote, Proofs Credited: Brauer-Siegel Theorem, Lead paragraph
In mathematics, the Brauer-Siegel theorem, named after Richard Brauer and Carl Ludwig Siegel, is an asymptotic result on the behaviour of algebraic number fields, obtained by Richard Brauer and Carl Ludwig Siegel.
Kurt Mahler (Wikipedia)
Mentored: Kurt Mahler, Infobox, doctoral advisor or academic advisorsQuote, Mentored: Kurt Mahler, Infobox, doctoral advisor or academic advisors
Mahler was a student at the universities in Frankfurt and Göttingen, graduating with a Ph.D. from Johann Wolfgang Goethe University of Frankfurt am Main in 1927; his advisor was Carl Ludwig Siegel.
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