Tomio Kubota

Tomio Kubota (Japanese久保 田 富雄, Tomio Kubota, * 1930 in the prefecture of Tokyo ) was a Japanese mathematician who deals with number theory and automorphic forms.

Kubota was a professor at Nagoya University, where he was also in 1958 received his doctorate in mathematics.

He was a visiting scientist at the University of Chicago and 1963/64, the Institute for Advanced Study.

He is mainly known for his work with Heinrich Wolfgang Leopoldt on the introduction of p- adic L-functions in the 1960s.

He also worked on extending the interpretation of the Shimura correspondence of half - integer and modular forms with metaplektischen groups (originally by André Weil). Its extension metaplektischer groups played a role in the rebuttal of the presumption of Ernst Eduard Kummer about the phase distribution or distribution of values ​​of special cubic Gaußsummen (Kummer sums, for primes p = 1 mod 3 ) by Samuel Patterson and Roger Heath- Brown ( 1979).

Writings

  • 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
  • Elementary theory of Eisenstein series. Kodansha, Tokyo / Wiley, New York 1973
  • As editor: Investigations in number theory. Academic Press, 1988
  • With Sigekatu Kuroda :整数 论:代数 的 整数 論 の 基礎. ( " Number theory. Basics of algebraic number theory " ), Asakura Shoten, Tokyo, 1963
  • Some arithmetical applications of an elliptic function, Journal of Pure and Applied Mathematics, Volume 214/215, 1964/1965, 141-145
Heinrich-Wolfgang Leopoldt Goro Shimura Ernst Kummer Integrated Authority File
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