Helmut Klingen

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Helmut Klingen (Oberwolfach 1975)

Helmut Klingen (born December 16, 1927 in Viersen ; † January 23, 2017 ) was a German mathematician .

Life

Helmut Klingen, the son of a senior student council, was drafted as a soldier in 1945 and taken prisoner of war in 1946. In 1947 he graduated from high school in Viersen. He studied mathematics and physics at the University of Göttingen with the state examination in 1953 and received his doctorate in 1955 under Carl Ludwig Siegel in Göttingen ( discontinuous groups in symmetrical spaces ). From 1955 to 1960 he was a research assistant in Göttingen. After his habilitation in 1957 he was a private lecturer in Göttingen, in 1960 a lecturer in Marburg and in 1961 in Heidelberg.

From 1962 Helmut Klingen was at the Albert-Ludwigs-Universität Freiburg , first as an associate professor and from 1963 as a full professor. He was visiting scholar at the University of California, Berkeley (visiting professor 1958/59), at the Institute for Advanced Study (1965/66), at the Tata Institute of Fundamental Research in Bombay (1968), at the Academy of Sciences of the USSR in Saint Petersburg and Moscow (1989) and at MSRI (1994).

Klingen dealt with number theory , function theory of several complex variables, automorphic forms and especially Siegel modular forms.

He gave a lecture at the International Congress of Mathematicians in Stockholm in 1962 ( Fourier expansion of modular forms ).

His doctoral students include Peter Bundschuh and Jürgen Wolfart .

Fonts

  • Introductory Lectures on Siegel Modular Forms , Cambridge Studies in Advanced Mathematics, Cambridge University Press 1990
  • On the theory of the Hermitian module functions , Mathematische Annalen, Volume 134, 1958, pp. 355-384
  • Comment on congruence groups of the nth degree module group , Archiv der Mathematik, Volume 10, 1959, pp. 113–122
  • Eisensteinreihen for the Hilbert module group of the nth degree , Nachrichten der Akademie der Wissenschaften in Göttingen 1960, No. 4, pp. 87-104
  • On the transformation theory of theta series of indefinite quadratic forms , Mathematische Annalen, Volume 140, 1960, pp. 76-86
  • Characterization of Siegel's group of modules using a finite system of defining relations , Mathematische Annalen, Volume 144, 1961, pp. 64–72
  • About the values ​​of Dedekind's zeta function , Mathematische Annalen, Volume 145, 1962, pp. 265-272
  • About the arithmetic character of the Fourier coefficients of modular forms , Mathematische Annalen, Volume 147, 1962, pp. 176-188
  • Comments on the convergence of Poincaré series , Nachrichten der Akademie der Wissenschaften in Göttingen 1966, No. 1, pp. 1-9
  • About Poincaré's series for Siegel's module group , Mathematische Annalen, Volume 168, 1967, pp. 157–170
  • On the representation set for Siegel modular forms , Mathematische Zeitschrift, Volume 102, 1967, pp. 30-43, correction in Volume 105, 1968, pp. 399-400
  • On the structure of the Siegel module group , Mathematische Zeitschrift, Volume 136, 1974, pp. 169–178

Web links

Individual evidence

  1. ↑ Professor Catalog University of Marburg ( Memento of the original from January 11, 2015 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.  @1@ 2Template: Webachiv / IABot / www.uni-marburg.de
  2. ^ Helmut Klingen obituary notice , FAZ , January 26, 2016
  3. ↑ Klingen also wrote an essay on Siegel's contributions to the theory of functions in the annual report of the DMV, Volume 85, 1983, pp. 158-173
  4. ^ Mathematics Genealogy Project . The dissertation appeared in the Mathematische Annalen, Volume 129, 1955, pp. 345-369, Volume 130, 1955, pp. 137-145
personal data
SURNAME Sound, Helmut
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH December 16, 1927
PLACE OF BIRTH Viersen
DATE OF DEATH 23rd January 2017