Study of Fourier-Jacobi type spherical functions for Siegel modular forms of degree two and its application
Project/Area Number |
21740020
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Single-year Grants |
Research Field |
Algebra
|
Research Institution | Ehime University |
Principal Investigator |
HIRANO Miki 愛媛大学, 理工学研究科, 教授 (80314946)
|
Project Period (FY) |
2009 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | フーリエ・ヤコビ型球関数 / フーリエ・ヤコビ展開 / 保型L-関数 / ジーゲル保型形式 / ホイッタカー関数 |
Research Abstract |
We reaped a satisfactory result in a preliminary and a similar study to the main theme. The principal results are a new explicit formula of the non-calss 1 principal series Whittaker functions on GL(3, C) and its application to the associated zeta integrals. These are important for the explicit theory of automorphic forms and their L-functions.
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Report
(4 results)
Research Products
(4 results)