• Source: Tomio Kubota

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.
His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt.
He extended the concept of metaplectic group, in a way significant for arithmetic applications. 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.




Works


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






External links


1. Topological Linear Groupの被覆群 (代数的整数論研究会報告集)---名古屋大学理学部　久保田 富雄　(KUBOTA, TOMIO) / Proceeding of the Conference on Algebraic Number Theory

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• In This Corner of the World
• Tomio Kubota
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• P-adic L-function
• Deaths in June 2020
• Nagoya University
• Sigekatu Kuroda
• Kummer sum
• Heinrich-Wolfgang Leopoldt
• Niitsu, Niigata
• List of International Congresses of Mathematicians Plenary and Invited Speakers