Not so Wiman

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Not so Wiman

Anders Wiman (born February 11, 1865 in Hammerlöf , † August 13, 1959 in Lund ) was a Swedish mathematician.

Life

After graduating from high school in Lund in 1885, he attended Lund University , where he received his doctorate from Carl Björling in 1892 ( classification af regelytorna af sjette graden , "classification of the 6th degree regular surfaces"). In 1901 he became an associate professor and in 1906 a full professor at Uppsala University . In 1930 he retired. But he still published well into old age (1954).

Wiman was editor of Acta Mathematica from 1908 . He dealt mainly with algebraic geometry and applications of group theory in geometry and function theory . For example, he proved that for n > 7, there are no groups of collineations in less than n −2 dimensions that are isomorphic to the symmetric or alternating group of n variables. He also determined all finite groups of birational transformations of the plane. He wrote the article on finite groups of linear transformations in the Encyclopedia of Mathematical Sciences . In function theory, he examined entire functions . He introduced the Wiman-Valiron theory named after him and Georges Valiron in 1914/16. A theorem he found about the minimum amount of whole functions is also known as Wiman's theorem. His investigations on the zeros of the derivatives of whole functions - together with similar investigations by George Pólya - had a great influence on the theory of whole functions, in particular the now proven Wiman conjecture and the Pólya-Wiman conjecture have stimulated much research.

Fritz Carlsson and Arne Beurling are among his students .

literature

  • Trygve Nagell : Anders Wiman in memoriam , Acta Mathematica 103, July 1960, pp. I – VI (French; obituary; with picture and list of scriptures; online , also here )
  • Lars Gårding : Mathematics and mathematicians. Mathematics in Sweden before 1950 , AMS, 1998, ISBN 0-8218-0612-2 (English translation by Matematik och matematiker. Matematiken i Sverige före 1950 , 1994, from the Swedish by Lars Gårding)

Individual evidence

  1. ↑ Anders Wiman: On the theory of finite groups of birational transformations in the plane (April 1896), Mathematische Annalen 48, September 1896, pp. 195-240
  2. ↑ Anders Wiman: On the connection between the maximum amount of an analytic function and the largest member of the associated Taylor series , Acta Mathematica 37, December 1914, pp. 305–326
  3. ↑ Anders Wiman: About the relationship between the maximum amount of an analytic function and the largest amount for given arguments of the function , Acta Mathematica 41, December 1916, pp. 1–28
  4. ↑ Anders Wiman: Sur une extension d'un théorème de M. Hadamard (June 7, 1905), Arkiv för Matematik, Astronomi och Fysik 2 No. 14, 1905, pp. 1–5 (French)
  5. ↑ Anders Wiman: About a property of the whole functions from height zero (February 11, 1914), Mathematische Annalen 76, March 1915, pp. 197-211
  6. ↑ Terence Sheil-Small: On the zeros of the derivatives of real entire functions and Wiman's conjecture , Annals of Mathematics (2) 129, 1989, pp. 179–193 (English)
  7. ↑ Thomas Craven, George Csordas, Wayne Smith: The zeros of derivatives of entire functions and the Pólya-Wiman conjecture , Annals of Mathematics (2) 125, 1987, pp. 405-431 (English)

Web links

personal data
SURNAME Wiman, Anders
BRIEF DESCRIPTION Swedish mathematician
DATE OF BIRTH February 11, 1865
PLACE OF BIRTH Hammerlöf
DATE OF DEATH August 13, 1959
Place of death Lund