Tomio Kubota
Tomio Kubota ( Japanese 久保 田 富雄 , Kubota Tomio ; * 1930 in Tokyo Prefecture ) is a Japanese mathematician who deals with number theory and automorphic forms.
Kubota was a professor at Nagoya University , where he also received his doctorate in mathematics in 1958.
He was visiting scholar at the University of Chicago and in 1963/64 at the Institute for Advanced Study .
He is best known for his work with Heinrich-Wolfgang Leopoldt on the introduction of p-adic L-functions in the 1960s.
He also worked on expanding the interpretation of the Shimura correspondence of half- and whole-number modular forms with metaplectic groups (originally by André Weil ). His expansion of metaplectic groups played a role in the refutation of Ernst Eduard Kummer's conjecture about the phase distribution or value distribution of special cubic Gaussian sums (Kummer sums, for prime numbers p = 1 mod 3) by Samuel Patterson and Roger Heath-Brown (1979).
Fonts
- On automorphic functions and the reciprocity law in a number field . Kinokuniya, Tokyo 1969
- Notes on analytic theory of numbers . University of Chicago Press, 1963
- Elementary theory of Eisenstein series . Kodansha, Tokyo / Wiley, New York 1973
- as editor: Investigations in number theory . Academic Press, 1988
- with Sigekatu Kuroda : 整数 論: 代数 的 整数 論 の 基礎 . ("Number theory. Fundamentals of algebraic number theory"), Asakura Shoten, Tokyo 1963
- Some arithmetical applications of an elliptic function, Journal für Reine und Angewandte Mathematik, Vol. 214/215, 1964/1965, 141-145
Individual evidence
- ↑ Dates of birth according to IAS 1980 membership book
- ↑ Kubota, Leopoldt: A p-adic theory of zeta values I: Introduction of the p-adic Dirichlet L-functions , Journal for Pure and Applied Mathematics, Vol. 214/215, 1965, pp.328-339 , Part 2 by Leopoldt: A p-adic theory of zeta values 2 , J.Reine Angew.Math., Vol. 274/275, 1975, pp. 224-239
- ^ Shimura Correspondence, Encyclopedia of Mathematics
| personal data | |
|---|---|
| SURNAME | Kubota, Tomio |
| ALTERNATIVE NAMES | 久保 田富雄 (Japanese) |
| BRIEF DESCRIPTION | Japanese mathematician |
| DATE OF BIRTH | 1930 |
| PLACE OF BIRTH | Tokyo prefecture |