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360:, studying under Landau, who was his doctoral thesis supervisor (PhD in 1920). He stayed in Göttingen as a teaching and research assistant; many of his groundbreaking results were published during this period. In 1922, he was appointed professor at the
275:
He was in some ways, perhaps, the most impressive mathematician I have met. I would say, in a way, devastatingly so. The things that Siegel tended to do were usually things that seemed impossible. Also after they were done, they still seemed almost
387:, and others in a seminar on the history of mathematics, which was conducted at the highest level. In the seminar they read only original sources. Siegel's reminiscences about the time before World War II are in an essay in his collected works.
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In the early 1970s Weil gave a series of seminars on the history of number theory prior to the 20th century and he remarked that Siegel once told him that when the first person discovered the simplest case of
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then, in Siegel's words, "Es gefiel dem lieben Gott." (It pleased the dear Lord.) Siegel was a profound student of the history of mathematics and put his studies to good use in such works as the
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442:, one of the most prestigious in the field. When the prize committee decided to select the greatest living mathematician, the discussion centered around Siegel and
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465:> 1, is historically important as a major general result on diophantine equations, when the field was essentially undeveloped. He worked on
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569:, Sitzungsberichte der Preussischen Akademie der Wissenschaften 1929 (sein Satz über Endlichkeit Lösungen ganzzahliger Gleichungen)
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713:"1996 Steele Prizes" (with Shimura's reminiscences concerning C. L. Siegel), Notices of the AMS, Vol. 43, 1996, pp. 1343–7, pdf
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309:, whose influence made the young Siegel abandon astronomy and turn towards number theory instead. His best-known student was
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Barkan, Eric; Sklar, David (2018). "On
Riemann's Nachlass for Analytic Number Theory: A translation of Siegel's Uber".
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and used his influence to help them. This attitude prevented Siegel's appointment as a successor to the chair of
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for quadratic forms. He has been named one of the most important mathematicians of the 20th century.
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Mordell's Review, Siegel's letter to
Mordell, diophantine geometry and 20th century mathematics
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Analytic functions of several complex variables, Stevens 1949; 2008 pbk edition
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241:(31 December 1896 – 4 April 1981) was a German mathematician specialising in
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Knights
Commander of the Order of Merit of the Federal Republic of Germany
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in particular won him numerous honours. In 1978, he was awarded the first
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as the leading candidates. The prize was ultimately split between them.
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Website
University Göttingen with biography and additional explanations
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85. Vol. Heft 4 der DMV (with 3 articles about Siegel's life and works)
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Freddy Litten: Die Carathéodory-Nachfolge in München (1938–1944)
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Freddy Litten Die Carathéodory-Nachfolge in München 1938–1944
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Siegel, Carl (1921). "Approximation algebraischer Zahlen".
886:"Obituary: Prof. Carl L. Siegel, 84; Leading Mathematician"
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in Munich. In
Frankfurt he took part with Dehn, Hellinger,
953:. National Academy of Sciences (U.S.). 1967. p. 24.
600:. Berlin Heidelberg: Springer-Verlag. 16 November 1989.
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Foreign associates of the
National Academy of Sciences
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Reminiscences on conversations with Carl Ludwig Siegel
567:Ăśber einige Anwendungen diophantischer Approximationen
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Carl Ludwig Siegel, 31. Dezember 1896 – 4. April 1981
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Jahresbericht der
Deutschen Mathematiker-Vereinigung
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Helmut
Klingen, Helmut RĂĽssmann, Theodor Schneider:
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On the history of the
Frankfurt Mathematics Seminar
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656:, Jahresbericht DMV, vol. 79, 1977, pp. 79–86
814:
563:, Mathematical Intelligencer Vol.1, 1978/9, No. 4
344:he was committed to a psychiatric institute as a
1784:Members of the Royal Swedish Academy of Sciences
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1074:MAA Reviews, Mathematical Association of America
914:. Mathematical Association of America. pp.
1068:Analytic Functions of Several Complex Variables
649:: Article in Dictionary of Scientific Biography
293:in Berlin in 1915 as a student in mathematics,
1774:Recipients of the Pour le MĂ©rite (civil class)
1749:Academic staff of Goethe University Frankfurt
1744:Academic staff of the University of Göttingen
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1097:Bulletin of the American Mathematical Society
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593:, Tata Institute of Fundamental Research 1980
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19:For the German architecture professor, see
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402:to the United States, where he joined the
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543:(Collected Works), 3 Bände, Springer 1966
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414:in 1935. He returned to Göttingen after
390:In 1936 he was a Plenary Speaker at the
1223:"Additive Zahlentheorie in Zahlkörpern"
826:MacTutor History of Mathematics Archive
636:, Mathematical Intelligencer 1985, Nr.2
473:phenomenon. His work, derived from the
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865:A brief but historic article of Siegel
664:Eine Frau und die Mathematik 1933–1940
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469:, discovering the (presumed illusory)
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1754:Institute for Advanced Study faculty
1764:Wolf Prize in Mathematics laureates
966:"Israel Moiseevich Gelfand, Part I"
777:Smith–Minkowski–Siegel mass formula
598:Lectures on the Geometry of Numbers
133:Siegel's theorem on integral points
125:Smith–Minkowski–Siegel mass formula
13:
1734:20th-century German mathematicians
950:Annual Report: Fiscal Year 1967–68
698:, Vol. 45, 1985, pp. 93–113,
579:Vorlesungen ĂĽber Funktionentheorie
175:Johann Wolfgang Goethe-Universität
14:
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1136:Topics in complex function theory
485:theories encompassing the use of
394:in Oslo. In 1938, he returned to
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1091:Vorlesungen ĂĽber Himmelsmechanik
587:, Academic Press, September 2014
555:Vorlesungen ĂĽber Himmelsmechanik
553:1971, based upon the older work
497:, are recognised as part of the
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16:German mathematician (1896–1981)
1155:10.1090/s0002-9904-1975-13730-x
1125:
1110:10.1090/S0002-9904-1958-10205-0
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1050:10.1090/s0002-9904-1950-09435-X
591:Advanced analytic number theory
551:Lectures on Celestial mechanics
410:, where he had already spent a
1739:University of Göttingen alumni
1087:Diliberto, Stephen P. (1958).
1064:Berg, Michael (June 9, 2008).
1014:
964:Retakh, Vladimir, ed. (2013).
957:
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666:, Springer 1990 (Reminiscence)
575:, BI Hochschultaschenbuch 1967
475:Hardy–Littlewood circle method
398:before emigrating in 1940 via
329:. Another notable student was
1:
1176:Mathematics Genealogy Project
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787:Riemann–Siegel theta function
271:said of Siegel and his work:
1196:(Dissertation) (in German).
404:Institute for Advanced Study
301:. Amongst his teachers were
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179:Institute for Advanced Study
7:
850:Encyclopedia of Mathematics
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362:Goethe University Frankfurt
289:, where he enrolled at the
21:Carl August Benjamin Siegel
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804:(Minkowski–Hlawka theorem)
654:Siegelsche Modulfunktionen
42:Carl Ludwig Siegel in 1975
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1277:Wolf Prize in Mathematics
1194:Mathematische Zeitschrift
1134:"Review: Carl L. Siegel,
1132:Baily, Walter L. (1975).
792:Siegel–Shidlovsky theorem
772:Siegel parabolic subgroup
481:, appeared in the later,
440:Wolf Prize in Mathematics
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313:, one of the founders of
307:Ferdinand Georg Frobenius
251:Diophantine approximation
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491:Siegel modular varieties
366:Arthur Moritz Schönflies
247:Thue–Siegel–Roth theorem
129:Thue–Siegel–Roth theorem
1759:German number theorists
762:Siegel upper half-space
381:Constantin Carathéodory
358:University of Göttingen
333:, the number theorist.
99:University of Göttingen
1704:Mathematics portal
1427:Ilya Piatetski-Shapiro
1148:(3, Part 1): 528–536.
1028:Transcendental numbers
910:Mathematical Apocrypha
797:Siegel–Walfisz theorem
782:Riemann–Siegel formula
530:Transcendental numbers
515:Riemann–Siegel formula
451:analytic number theory
346:conscientious objector
340:, and in 1917, during
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243:analytic number theory
117:Siegel modular variety
1637:Jean-François Le Gall
1221:Siegel, Carl (1921).
1142:Bull. Amer. Math. Soc
1037:Bull. Amer. Math. Soc
432:diophantine equations
356:, he enrolled at the
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109:Brauer–Siegel theorem
1554:Phillip A. Griffiths
1392:Friedrich Hirzebruch
862:PĂ©rez, R. A. (2011)
821:"Carl Ludwig Siegel"
817:Robertson, Edmund F.
737:Bourget's hypothesis
573:Transzendente Zahlen
495:Siegel modular forms
449:Siegel's work spans
364:as the successor of
214:Christian Pommerenke
1627:Alexander Beilinson
815:O'Connor, John J.;
767:Siegel–Weil formula
742:Siegel's conjecture
585:Symplectic geometry
511:Faulhaber's formula
436:celestial mechanics
291:Humboldt University
285:Siegel was born in
259:Siegel mass formula
253:, Siegel's method,
113:Siegel modular form
1658:Simon K. Donaldson
1585:Michael Aschbacher
1544:Hillel Furstenberg
1206:10.1007/BF01211608
1172:Carl Ludwig Siegel
1070:by Carl L. Siegel"
1030:, by C. L. Siegel"
973:Notices of the AMS
652:Eberhard Freitag:
641:Carl Ludwig Siegel
239:Carl Ludwig Siegel
30:Carl Ludwig Siegel
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1674:Ingrid Daubechies
1631:Vladimir Drinfeld
1621:Charles Fefferman
1504:Jean-Pierre Serre
1352:Shiing-Shen Chern
1326:Andrey Kolmogorov
1275:Laureates of the
904:Krantz, Steven G.
892:. April 15, 1981.
704:Publications list
607:978-3-540-50629-4
503:abelian varieties
493:, which describe
426:Siegel's work on
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219:Theodor Schneider
197:Doctoral students
157:Scientific career
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1662:Yakov Eliashberg
1558:David B. Mumford
1530:Grigory Margulis
1459:Robert Langlands
1437:John G. Thompson
1433:Lennart Carleson
1402:Alberto CalderĂłn
1372:Samuel Eilenberg
1362:Kunihiko Kodaira
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696:Acta Arithmetica
630:Harold Davenport
621:, March 3, 1964.
619:Louis J. Mordell
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541:Gesammelte Werke
186:Doctoral advisor
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925:0-88385-539-9
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875:(4), 558–566.
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63:
50:
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39:
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27:
22:
1695:
1605:Peter Sarnak
1463:Andrew Wiles
1453:JĂĽrgen Moser
1447:Jacques Tits
1376:Atle Selberg
1332:Lars Ahlfors
1322:Henri Cartan
1294:
1230:
1226:
1197:
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1090:
1082:
1073:
1067:
1059:
1040:
1036:
1027:
1022:James, R. D.
1016:
995:
979:(1): 24–49.
976:
972:
959:
949:
943:
934:
909:
898:
889:
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872:
864:
858:
849:
840:
824:
721:
709:Goro Shimura
691:
679:
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640:
633:
624:
597:
590:
584:
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566:
560:
554:
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548:JĂĽrgen Moser
540:
535:
529:
524:
507:
448:
425:
416:World War II
389:
385:Paul Epstein
335:
327:chaos theory
311:JĂĽrgen Moser
284:
274:
269:Atle Selberg
263:
238:
237:
224:JĂĽrgen Moser
171:Institutions
156:
88:West Germany
78:(1981-04-04)
76:4 April 1981
1729:1981 deaths
1724:1896 births
1406:John Milnor
1066:"Review of
752:Siegel disk
688:Max Deuring
525:by Siegel:
483:adele group
471:Siegel zero
467:L-functions
354:World War I
342:World War I
331:Kurt Mahler
276:impossible.
209:Kurt Mahler
166:Mathematics
121:Siegel zero
1718:Categories
1684:Adi Shamir
1520:Mikio Sato
1500:Raoul Bott
1382:Kiyosi ItĂ´
1356:Paul Erdős
1346:Mark Krein
1305:André Weil
1301:Jean Leray
1007:1810.05198
809:References
718:Serge Lang
453:; and his
412:sabbatical
319:Kolmogorov
315:KAM theory
303:Max Planck
265:André Weil
147:Wolf Prize
54:1896-12-31
1680:Noga Alon
1546:(2006/07)
1526:(2002/03)
1524:John Tate
1475:(1996/97)
1465:(1995/96)
1455:(1994/95)
1386:Peter Lax
1368:(1984/85)
1366:Hans Lewy
1358:(1983/84)
1214:0025-5874
1119:0002-9904
1026:"Review:
660:Hel Braun
408:Princeton
396:Göttingen
295:astronomy
281:Biography
204:Hel Braun
84:Göttingen
1233:: 22–26.
1024:(1950).
906:(2002).
890:NY Times
731:See also
377:Max Dehn
257:and the
1174:at the
916:185–186
681:Courant
675:Hilbert
457:on the
455:theorem
370:docents
299:physics
1686:(2024)
1676:(2023)
1670:(2022)
1664:(2020)
1643:(2019)
1633:(2018)
1623:(2017)
1613:(2015)
1607:(2014)
1601:(2013)
1591:(2012)
1581:(2010)
1560:(2008)
1536:(2005)
1516:(2001)
1506:(2000)
1485:(1999)
1449:(1993)
1439:(1992)
1429:(1990)
1408:(1989)
1398:(1988)
1388:(1987)
1378:(1986)
1348:(1982)
1338:(1981)
1328:(1980)
1307:(1979)
1297:(1978)
1212:
1117:
922:
700:online
615:Letter
604:
532:, 1949
489:. The
461:, for
434:, and
422:Career
400:Norway
323:Arnold
297:, and
287:Berlin
163:Fields
150:(1978)
143:Awards
62:Berlin
1651:2020s
1568:2010s
1493:2000s
1416:1990s
1315:1980s
1284:1970s
1033:(PDF)
1002:arXiv
969:(PDF)
546:with
521:Works
463:genus
1210:ISSN
1115:ISSN
920:ISBN
870:NAMS
702:and
602:ISBN
375:and
305:and
73:Died
48:Born
1202:doi
1150:doi
1105:doi
1045:doi
981:doi
617:to
501:of
477:on
406:in
392:ICM
249:in
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321:–
317:(
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52:(
23:.
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