Tomio Kubota
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Template:Short description Template:Infobox Scientist Script error: No such module "Nihongo". (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.[1]
His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory, was done jointly with Leopoldt.[2][3]
He extended the concept of metaplectic group, in a way significant for arithmetic applications.[4] 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.[5]
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: Script error: No such module "Lang".. ("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
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- editor: Investigations in number theory. Academic Press, 1988
Notes
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- ↑ 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).