(6 December 1930 – 30 June 2020) was a Japanese

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

working in

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

. His contributions include works on p-adic L functions and real-analytic

automorphic form In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group ''G'' to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of ...

s. His work on p-adic L-functions, later recognised as an aspect of

Iwasawa theory In number theory, Iwasawa theory is the study of objects of arithmetic interest over infinite towers of number fields. It began as a Galois module theory of ideal class groups, initiated by (), as part of the theory of cyclotomic fields. In th ...

, was done jointly with Leopoldt. He extended the concept of

metaplectic group In mathematics, the metaplectic group Mp2''n'' is a double cover of the symplectic group Sp2''n''. It can be defined over either real or ''p''-adic numbers. The construction covers more generally the case of an arbitrary local or finite field, ...

, in a way significant for arithmetic applications. This opened a field for later research on associated

Dirichlet series In mathematics, a Dirichlet series is any series of the form \sum_^\infty \frac, where ''s'' is complex, and a_n is a complex sequence. It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in analyti ...

and

s, and was a major step in the solution of Kummer's conjecture.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).

Works

*''On automorphic functions and the reciprocity law in a number field''.

Kinokuniya is a Japanese bookstore chain operated by , founded in 1927, with its first store located in Shinjuku, Tokyo, Japan. Its name translates to "Bookstore of Kii Province". The company has its headquarters in Meguro, Tokyo. One of the company's ...

, Tokyo 1969 *''Notes on analytic theory of numbers''.

University of Chicago Press The University of Chicago Press is the largest and one of the oldest university presses in the United States. It is operated by the University of Chicago and publishes a wide variety of academic titles, including ''The Chicago Manual of Style'', ...

, 1963 *with

Sigekatu Kuroda was a Japanese mathematician who worked in number theory and mathematical logic. In 1942 he became a professor at the newly founded Nagoya Imperial University, where he stayed for over twenty years. He is responsible for much of the effort in ...

: . ("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

Notes

External links

20th-century Japanese mathematicians 21st-century Japanese mathematicians 1930 births 2020 deaths Nagoya University faculty {{Asia-mathematician-stub