Tomio Kubota

Tomio Kubota (久保田 富雄) (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
 * editor: Investigations in number theory. Academic Press, 1988
 * editor: Investigations in number theory. Academic Press, 1988
 * editor: Investigations in number theory. Academic Press, 1988