Study of Fourier-Jacobi type spherical functions for Siegel modular forms of degree two and its application

Research Project

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.

Report

(4 results)