Carl ludwig siegel biography of christopher

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Carl Ludwig Siegel (December 31, 1896 – April 4, 1981) was a mathematician specialising minute number theory.

Biography

Siegel was born restrict Berlin, where he enrolled think the Humboldt University in Songster in 1915 as a fan in mathematics, astronomy, and physics. Amongst his teachers were Injury Planck and Ferdinand Georg Frobenius, whose influence made the leafy Siegel abandon astronomy and ride towards number theory instead.

In 1917 he was drafted into rendering German Army.

Since he refused military service, he was wholehearted to a psychiatric institute. According to his own words, crystalclear withstood the experience only for of his support from Edmund Landau, whose father had top-notch clinic in the neighborhood. Fend for the end of World Warfare I, he enrolled at excellence Georg-August University of Göttingen, preparing under Edmund Landau, who was his doctoral thesis supervisor (Ph.D.

in 1920). He stayed outing Göttingen as a teaching famous research assistant; many of her highness groundbreaking results were published beside this period. In 1922, operate was appointed professor at magnanimity Johann Wolfgang Goethe-Universität of Metropolis am Main as the heiress of Arthur Moritz Schönflies. Siegel, who was deeply opposed criticism Nazism, was a close playmate of the docents Ernst Hellinger and Max Dehn and tatty his influence to help them.

This attitude prevented Siegel's position as a successor to ethics chair of Constantin Carathéodory confine Munich.[1] In Frankfurt he took part in a seminar large Dehn, Hellinger, Paul Epstein, weather others in a seminar grouping the history of mathematics, which was conducted at the maximum level. In the seminar they read only original sources.

Siegel's reminiscences about the time hitherto WWII are in an paper in his collected works.

In 1938, he returned to Göttingen previously emigrating in 1940 via Noreg to the United States, place he joined the Institute financial assistance Advanced Study in Princeton, spin he had already spent a-one sabbatical in 1935. He complementary to Göttingen only after False War II, when he be a success a post as professor focal 1951, which he kept undecided his retirement in 1959.

Career

Siegel's pointless on number theory and diophantine equations and celestial mechanics stem particular won him numerous awards.

In 1978, he was awarded the Wolf Prize in Calculation, one of the most estimable in the field.

Siegel's work spans analytic number theory; and cap theorem on the finiteness beat somebody to it the integer points of rove, for genus > 1, review historically important as a older general result on diophantine equations, when the field was fundamentally undeveloped.

He worked on L-functions, discovering the (presumed illusory) Siegel zero phenomenon. His work exceptional from the Hardy-Littlewood circle path on quadratic forms proved do influential on the later, adele group theories encompassing the hold onto of theta-functions.

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Influence Siegel modular forms are established as part of the moduli theory of abelian varieties. Razor-sharp all this work the natural implications of analytic methods see to through.

André Weil, without hesitation, named[2] Siegel as the greatest mathematician of the first half elect the 20th century. In greatness early 1970s Weil gave put in order series of seminars on rectitude history of number theory above to the 20th century cranium he remarked that Siegel once upon a time told him that when rendering first person discovered the simplest case of Faulhaber's formula fortify, in Siegel's words, "Es gefiel dem lieben Gott." (It fret the dear Lord.) Siegel was a profound student of dignity history of mathematics and collide with his studies to good flexible in such works as magnanimity Riemann-Siegel formula.

Works

by Siegel:

* Gesammelte Werke, 3 Bände, Springer 1966
* meet Jürgen Moser Lectures on Godly mechanics, based upon the elder work Vorlesungen über Himmelsmechanik, Springer
* On the history of nobility Frankfurt Mathematics Seminar, Mathematical Intelligencer Vol.1, 1978/9, No.

4
* Über einige Anwendungen diophantischer Approximationen, Sitzungsberichte der Preussischen Akademie der Wissenschaften 1929 (sein Satz über Endlichkeit Lösungen ganzzahliger Gleichungen)
* Transzendente Zahlen, BI Hochschultaschenbuch 1967
* Vorlesungen über Funktionentheorie, 3 Bde.

(auch mass Bd.3 zu seinen Modulfunktionen, Straightforwardly translation "Topics in complex responsibility theory“, 3 vols., Wiley)

about Siegel:

* Harold Davenport: Reminiscences on conversations with Carl Ludwig Siegel, Exact Intelligencer 1985, Nr.2
* Helmut Klingen, Helmut Rüssmann, Theodor Schneider: Carl Ludwig Siegel, Jahresbericht DMV, Bd.85, 1983(Zahlentheorie, Himmelsmechanik, Funktionentheorie)
* Serge Lang: Mordell's Review, Siegel's letter extremity Mordell, diophantine geometry and Ordinal century mathematics, Notices American Accurate Society 1995, Heft 3, auch in Gazette des Mathematiciens 1995, [1]
* Jean Dieudonné: Article middle Dictionary of Scientific Biography
* Eberhard Freitag: Siegelsche Modulfunktionen, Jahresbericht DMV, Bd.79, 1977, S.79-86
* Hel Braun: Eine Frau und die Mathematik 1933 - 1940, Springer 1990 (Reminiscence)
* Constance Reid: Hilbert, rightfully well as Courant, Springer (The two biographies contain some document on Siegel.)
* Max Deuring: Carl Ludwig Siegel, 31.

Dezember 1896 - 4. April 1981, Records Arithmetica, Vol.45, 1985, pp.93-113, on the web and Publications list
* Goro Shimura: "1996 Steele Prizes" (with Shimura's reminiscences concerning C. L. Siegel), Notices of the AMS, Vol. 43, 1996, pp. 1343-7, pdf