Tomio Kubota (久保田 富雄, Kubota Tomio) (6 December 1930 – 30 June 2020) was a Japanese mathematician working in number theory. His contributions include works on p-adic L functions and real-analytic automorphic forms.[3]
Tomio Kubota | |
|---|---|
| Born | 6 December 1930 |
| Died | 30 June 2020 (aged 89) |
| Nationality |  Japan |
| Alma mater | Nagoya University (Ph.D. 1958)[2] |
| Known for | p-adic L-functions |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Nagoya University (1952-93)[1] University of Chicago (1963) Institute for Advanced Study (1963-64) Karlsruhe Institute of Technology |
His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt.[4][5]
He extended the concept of metaplectic group, in a way significant for arithmetic applications.[6] This opened a field for later research on associated Dirichlet series and automorphic forms, and was a major step in the solution of Kummer's conjecture.[7]
Works
edit- 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
- with Sigekatu Kuroda: 整数論 : 代数的整数論の基礎. ("Number Theory. Foundations of Algebraic Number Theory"), Asakura Shoten, Tokyo 1963
- Some arithmetical applications of an elliptic function, Journal für Reine und Angewandte Mathematik, Band 214/215, 1964/1965, 141-145
- Kubota, T.; Leopoldt, H.-W. (1964). "Eine p-adische Theorie der Zetawerte I: Einführung der p-adischen Dirichletschen L-Funktionen". Journal für die Reine und Angewandte Mathematik. 214/215: 328–339.
- Kubota, Tomio (1973). Elementary theory of Eisenstein series. Kodansha, Tokyo / Wiley, New York. ISBN 978-0470509203.
- editor: Investigations in number theory. Academic Press, 1988
Notes
edit- ^ Nagoya University Department of Mathematics brochure 2014-15
- ^ "Tomio Kubota - IAS". Retrieved 2 July 2018.
- ^ "久保田富雄". nippyo.co. Retrieved 14 January 2021.
- ^ "Iwasawa theory", Encyclopedia of Mathematics, EMS Press, 2001 [1994], retrieved 26 February 2021
- ^ Greenberg, Ralph. "Memories of Professor Iwasawa". Retrieved 2 July 2018.
- ^ "Shimura correspondence", Encyclopedia of Mathematics, EMS Press, 2001 [1994], retrieved 26 February 2021
- ^ Jeff Hoffstein, Eisenstein Series and Theta Functions on the Metaplectic Group, pp. 73-78, in Maruti Ram Murty, Theta Functions: From the Classical to the Modern (1993).
External links
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