Tomio Kubota

Tomio Kubota (久保田 富雄, Kubota Tomio, born 1930) is a Japanese mathematician, who studies number theory. His contributions include works on p-adic L functions and real-analytic automorphic forms.

Tomio Kubota
Born (1930-12-06) December 6, 1930
Nationality Japan
Alma materNagoya University (Ph.D. 1958)[1]
Known forp-adic L-functions
Scientific career
FieldsMathematics
InstitutionsNagoya University (1952-93)[2]
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.[3][4]

He extended the concept of metaplectic group, in a way significant for arithmetic applications.[5] 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.[6]

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
  1. "Tomio Kubota - IAS". Retrieved 2 July 2018.
  2. Nagoya University Department of Mathematics brochure 2014-15
  3. Iwasawa theory - Encyclopedia of Mathematics
  4. Greenberg, Ralph. "Memories of Professor Iwasawa". Retrieved 2 July 2018.
  5. Shimura correspondence - Encyclopedia of Mathematics
  6. 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).


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