Iwasawa main conjecture and congruences between automorphic representations
| Project/Area Number |
15H06634
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Tokyo Denki University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2015-08-28 – 2017-03-31
|
| Project Status |
Completed (Fiscal Year 2016)
|
| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Keywords | 数論 / L関数 / 保型表現 / 岩澤理論 / 代数学 |
|---|
| Outline of Final Research Achievements |
We studied Theta functions (Yoshida lifts, Harris-Soudry-Taylor (HST) lifts) and special values of L-functions. By using an explicit inner product formula, which was obtained in our previous research, we showed that a non-vanishing result of special values of twisted Rankin-Selberg type L-functions which is associated with Hilbert modular forms over real quadratic fields under some assumptions.
We also studied an explicit relation Bessel periods and special values of L-functions, which is a generalization of our previous result. An explicit result is not yet available, however, we find a formulation which is an analogue of Yoshida lifts case.
|
Report
(3 results)
Research Products
(5 results)
