Tomio Kubota
Encyclopedia
is a Japa
nese mathematician
, who studies number theory
. His contributions include works on p-adic L functions and real-analytic automorphic form
s.
His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory
, was 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 form
s, and was a major step in the solution of Kummer's conjecture
.
Japa
Japa is a spiritual discipline involving the meditative repetition of a mantra or name of a divine power. The mantra or name may be spoken softly, enough for the practitioner to hear it, or it may be spoken purely within the recitor's mind...
nese mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
, who studies number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
. His contributions include works on p-adic L functions and real-analytic automorphic form
Automorphic form
In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms...
s.
His work on p-adic L-functions, later recognised as an aspect of Iwasawa theory
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 Kenkichi Iwasawa, in the 1950s, as part of the theory of cyclotomic fields. In the early 1970s, Barry Mazur...
, was jointly with Leopoldt
Heinrich-Wolfgang Leopoldt
Heinrich-Wolfgang Leopoldt was a German mathematician, who worked on algebraic number theory.Leopoldt earned his PhD in 1954 at the University of Hamburg under Helmut Hasse with the thesis Über Einheitengruppe und Klassenzahl reeller algebraischer Zahlkörper...
.
He extended the concept of metaplectic group
Metaplectic group
In mathematics, the metaplectic group Mp2n is a double cover of the symplectic group Sp2n. It can be defined over either real or p-adic numbers...
, in a way significant for arithmetic applications. This opened a field for later research on associated Dirichlet series and automorphic form
Automorphic form
In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms...
s, and was a major step in the solution of Kummer's conjecture
Kummer's conjecture
In mathematics, Kummer's conjecture is either of two the conjectures made by Ernst Eduard Kummer:*The Kummer–Vandiver conjecture about class numbers of cyclotomic fields*Kummer's conjecture about the Kummer sum...
.