Georg Johann Rieger

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Georg Johann Rieger in Oberwolfach , 1986

Georg Johann Rieger (born August 16, 1931 in Bad Kreuznach ) is a German mathematician who is particularly concerned with additive number theory.

Live and act

Rieger attended grammar school in Günzburg and from 1949 studied at the Justus Liebig University in Gießen , where he received his doctorate summa cum laude under Hans-Joachim Kanold in 1953 (on Hilbert's solution to Waring's problem - estimation of g (n), partly in archive für Mathematik Vol. 4, 1953, pp. 275-283). From 1954 to 1956 he was at the University of Vienna . In 1956 he completed his habilitation in Giessen. From 1957 he was Assistant Professor at the University of Maryland in College Park and from 1960 Associate Professor at Purdue University . In 1961 he was at the Institute for Advanced Study . In 1963 he became an associate professor at the Ludwig Maximilians University in Munich and was a substitute professor in Erlangen in 1963/64 and in Munich in 1964/65. From 1967 he was a professor at the State University of New York at Buffalo for two years before returning to the University of Munich in 1969. In 1973 he was given a full professorship at the Technical University of Hanover, later Leibniz University of Hanover , which he held until his retirement in 1999. He has held numerous visiting professorships abroad, including at the universities of Bordeaux (1977) France, Campinas (1978) Brazil, College Station (1981/82) near Houston , Texas, USA and Johannesburg (1985) South Africa.

From 1950 he received a scholarship from the German National Academic Foundation . He is a member of the Braunschweig Scientific Society (1992), the Accademia Italia and the New York Academy of Sciences .

In his dissertation he started with David Hilbert's proof of the Waring Conjecture from 1909. Hilbert had proven in 1909 that every natural number can be represented by a sum at most g (k) k-th powers. However, he did not give any estimates for g (k), which Rieger caught up with Hilbert's methods without, however, getting to the better estimates known for a long time using the Hardy-Littlewood circle method (by Godfrey Harold Hardy , John Edensor Littlewood around 1920). Rieger dealt with the Waring problem and its generalizations in other works. He gave elementary estimates for g (k) based on the work of Juri Linnik , who found a new approach to the Waring problem in the 1940s.

Fonts

  • Number theory , Vandenhoeck and Ruprecht, Göttingen 1976 (Studia Mathematica)
  • The theory of numbers with CF Gauß , in: Hans Reichardt : Gauß - commemorative ribbon on the occasion of the 100th anniversary of death on February 23, 1955 , Teubner 1957

Web links

Individual evidence

  1. ^ Rieger: The number of ideals in an ideal class mod f of an algebraic number field, Mathematische Annalen Vol. 135, 1958, p. 444
  2. ↑ Rieger: “On Linnik's solution to Waring's problem: Estimation of g (n)”, Math.Zeitschrift, Vol. 60, 1954, p. 213
personal data
SURNAME Rieger, Georg Johann
BRIEF DESCRIPTION German mathematician and university professor
DATE OF BIRTH August 16, 1931
PLACE OF BIRTH Bad Kreuznach