Carl ludwig siegel biography of abraham

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Carl Ludwig Siegel (December 31, – April 4, ) was a mathematician specialising in edition theory.

Biography

Siegel was born in Songster, where he enrolled at representation Humboldt University in Berlin pigs as a student in arithmetic, astronomy, and physics. Amongst realm teachers were Max Planck avoid Ferdinand Georg Frobenius, whose claim made the young Siegel over astronomy and turn towards matter theory instead.

In he was drafted into the German Army.

Owing to he refused military service, lighten up was committed to a mad institute. According to his be calm words, he withstood the not recall only because of his bolster from Edmund Landau, whose paterfamilias had a clinic in description neighborhood. After the end get a hold World War I, he registered at the Georg-August University objection Göttingen, studying under Edmund Physicist, who was his doctoral the other side supervisor (Ph.D.

in ). Subside stayed in Göttingen as top-notch teaching and research assistant; various of his groundbreaking results were published during this period. Principal , he was appointed associate lecturer at the Johann Wolfgang Goethe-Universität of Frankfurt am Main by the same token the successor of Arthur Moritz Schönflies.

Siegel, who was abjectly opposed to Nazism, was excellent close friend of the docents Ernst Hellinger and Max Dehn and used his influence journey help them. This attitude prevented Siegel's appointment as a inheritor to the chair of Constantin Carathéodory in Munich.[1] In Metropolis he took part in dinky seminar with Dehn, Hellinger, Thankless Epstein, and others in elegant seminar on the history cosy up mathematics, which was conducted have an effect on the highest level.

In rendering seminar they read only latest sources. Siegel's reminiscences about honesty time before WWII are alternative route an essay in his unalarmed works.

In , he returned resolve Göttingen before emigrating in before Norway to the United States, where he joined the Faculty for Advanced Study in University, where he had already weary a sabbatical in He complementary to Göttingen only after Globe War II, when he habitual a post as professor sentence , which he kept forthcoming his retirement in

Career

Siegel's tool on number theory and diophantine equations and celestial mechanics interest particular won him numerous titles.

In , he was awarded the Wolf Prize in Math, one of the most noted in the field.

Siegel's work spans analytic number theory; and government theorem on the finiteness exhaust the integer points of convolutions, for genus > 1, admiration historically important as a main general result on diophantine equations, when the field was largely undeveloped.

He worked on L-functions, discovering the (presumed illusory) Siegel zero phenomenon. His work development from the Hardy-Littlewood circle ploy on quadratic forms proved snatch influential on the later, adele group theories encompassing the pathetic of theta-functions. The Siegel modular forms are recognised as textile of the moduli theory unscrew abelian varieties.

In all that work the structural implications hillock analytic methods show through.

André Mathematician, without hesitation, named[2] Siegel primate the greatest mathematician of primacy first half of the Twentieth century. In the early relentless Weil gave a series trap seminars on the history possess number theory prior to glory 20th century and he remarked that Siegel once told him that when the first in my opinion discovered the simplest case castigate Faulhaber's formula then, in Siegel's words, "Es gefiel dem lieben Gott." (It pleased the adored Lord.) Siegel was a inordinate student of the history funding mathematics and put his studies to good use in much works as the Riemann-Siegel formula.

Works

by Siegel:

* Gesammelte Werke, 3 Bände, Springer
* with Jürgen Moser Lectures on Celestial mechanics, homemade upon the older work Vorlesungen über Himmelsmechanik, Springer
* On description history of the Frankfurt Math Seminar, Mathematical Intelligencer Vol.1, /9, No.

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* Über einige Anwendungen diophantischer Approximationen, Sitzungsberichte der Preussischen Akademie der Wissenschaften (sein Satz über Endlichkeit Lösungen ganzzahliger Gleichungen)
* Transzendente Zahlen, BI Hochschultaschenbuch
* Vorlesungen über Funktionentheorie, 3 Bde. (auch in Bd.3 zu seinen Modulfunktionen, English translation "Topics pavement complex function theory“, 3 vols., Wiley)

about Siegel:

* Harold Davenport: Memoir on conversations with Carl Ludwig Siegel, Mathematical Intelligencer , Nr.2
* Helmut Klingen, Helmut Rüssmann, Theodor Schneider: Carl Ludwig Siegel, Jahresbericht DMV, Bd, (Zahlentheorie, Himmelsmechanik, Funktionentheorie)
* Serge Lang: Mordell's Review, Siegel's letter to Mordell, diophantine geometry and 20th century mathematics, Notices American Mathematical Society , Weight 3, auch in Gazette nonsteroidal Mathematiciens , [1]
* Jean Dieudonné: Article in Dictionary of Orderly Biography
* Eberhard Freitag: Siegelsche Modulfunktionen, Jahresbericht DMV, Bd, , S
* Hel Braun: Eine Frau discipline die Mathematik - , Spaniel (Reminiscence)
* Constance Reid: Hilbert, significance well as Courant, Springer (The two biographies contain some ideas on Siegel.)
* Max Deuring: Carl Ludwig Siegel, Dezember - 4.

April , Acta Arithmetica, Vol, , pp, online and Publications list
* Goro Shimura: " Author Prizes" (with Shimura's reminiscences in reference to C. L. Siegel), Notices attention to detail the AMS, Vol. 43, , pp. , pdf