2012 Fiscal Year Final Research Report
Analytic properties of arithmetic zeta functions and geometric symmetry
| Project/Area Number |
21740004
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Tokyo Institute of Technology (2012)
The University of Tokyo (2009-2011) |
|---|
Principal Investigator |
SUZUKI Masatoshi 東京工業大学, 大学院・理工学研究科, 准教授 (30534052)
|
|---|
| Project Period (FY) |
2009 – 2012
|
| Keywords | 数論 / ゼータ関数 / 解析接続 / 関数等式 / 零点分布 |
|---|
| Research Abstract |
Zeta functions are a group of certain special functions having its origin in the Riemann zeta function. They play important roles in various fields of mathematics. In this research project, we studied about important analytic properties of arithmetic zeta functions like analytic continuations and distributions of thier poles and zeros. As the results, we established a new bridge between analytic properties of zeta functions in number theory and modern harmonic analysis, and obtained new results on the distribution of zeros of so-called high-rank zeta functions which are direct generalizations of the Riemann zeta function.
|
Research Products
(22 results)
