David Goss

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David Goss

David Mark Goss ( April 20, 1952 - April 4, 2017 ) was an American mathematician .

life and work

Goss graduated from the University of Michigan with a bachelor's degree in 1973 and received his PhD from Harvard University in 1977 with Barry Mazur ( -adic Eisenstein series for function fields). He taught at Princeton University , the University of California, Berkeley and Brandeis University before becoming a professor at Ohio State University in 1982 . He retired in 2013.

Goss dealt with algebraic number theory and arithmetic in algebraic function fields. The Goss zeta function is a zeta function for function bodies that is analogous to the Riemann zeta function, introduced by Goss in 1979. In the work he also introduced character groups, the analytical continuation and values ​​for negative integers, the trivial zeros and other properties of the Goss zeta function. Starting with his dissertation, he developed the theory of modular forms and rows of iron stones in the context of functional bodies.

He was editor of the Journal of Number Theory, published by Elsevier for fifteen years from 1988. In 2012 he became a Fellow of the American Mathematical Society .

He was married to Rita Eppler-Goss and had two children.

David Goss Prize

The publisher Elsevier donated a biannual award for number theory in his name (David Goss Prize), which is endowed with 10,000 dollars. The first award winner in 2019 was Alexander Smith .

Prize winners:

  • 2019 Alexander Smith

Fonts (selection)

Except for the works cited in the footnotes.

  • Basic structures of function field arithmetic, Results of Mathematics and their Frontier Areas , Series 3, Volume 34, Springer 1996
  • The algebraist's upper half-plane, Bull. Amer. Math. Soc. (NS)., Vol. 2, 1980, pp. 391-415.
  • A simple approach to the analytic continuation and values ​​at negative integers for Riemann's zeta function, Proc. Amer. Math. Soc., Vol. 81, 1981, pp. 513-517.
  • Units and class groups in the arithmetic theory of function fields, Bull. Amer. Math. Soc. (NS), Volume 13, 1985, pp. 131-132
  • A formal Mellin transform in the arithmetic of function fields, Trans. Amer. Math. Soc., Vol. 327, 1991, pp. 567-582

Web links

Commons : David Goss  - collection of images, videos and audio files

Individual evidence

  1. ↑ David Goss in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Goss, -adic zeta functions, L-series and measures for function fields, Inventiones Mathematicae, Volume 55, 1979, pp. 107-119
  3. ↑ Dorian Goldfeld, Simone Munao, Alexander Smith wins the first David Goss Prize in Number Theory, Notices of the AMS, Volume 66, 2019, No. 11, pp. 1875f
personal data
SURNAME Goss, David
ALTERNATIVE NAMES Goss, David Mark
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH April 20, 1952
DATE OF DEATH 4th April 2017