研究キーワード (5件)：
ヤコビ形式
, ゼータ関数
, 保型形式
, 整数論
, Number Theory
競争的資金等の研究課題 (5件)：
2019 - 2024 保型形式に付随する多変数ディリクレ級数と保型エル関数の特殊値への応用
2013 - 2018 多変数保型形式の整数論の跡公式を背景とする明示的研究
2014 - 2018 高次元マース関係式を用いた保型エル関数の研究
2013 - 2016 ヤコビ形式を用いた多変数保型形式の研究
2011 - 2014 重さ半整数ジーゲル保型形式におけるリフティングの研究
論文 (13件)：
林田 秀一. A certain Dirichlet series of Rankin-Selberg type associated with the Ikeda lift of half-integral weight. Mathematika. 2019. 65. 897-928
林田秀一. RANKIN-SELBERG METHOD FOR JACOBI FORMS OF INTEGRAL WEIGHT AND OF HALF-INTEGRAL WEIGHT ON SYMPLECTIC GROUPS. Kyushu Journal of Mathematics. 2019. 73. 2. 391-415
林田 秀一. On Kohnen plus-space of Jacobi forms of half integral weight of matrix index. Osaka Journal of Mathematics. 2018. 55. 499-522
林田 秀一. GENERALIZED MAASS RELATIONS AND LIFTS (Modular forms and automorphic representations). 数理解析研究所講究録. 2015. 1973. 1-9
林田 秀一. Lifting of pairs of elliptic modular forms to Siegel modular forms of half-integral weight of degree two. RIMS研究集会「保型形式と関連する跡公式、ゼータ関数の研究 」講究録1767. 2011. 1767. 103-114
林田 秀一, Skoruppa N.-P. Hilbert-Jacobi forms of a certain index of $\mathbb{Q}(\sqrt{5})$ (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics). 数理解析研究所講究録. 2008. 1617. 98-105
Kohnen plus-space of Jacobi forms of half-integral weight and certain Dirichlet series of Rankin-Selberg type of Jacobi forms
(2022早稲田整数論研究集会 2022)
Kohnen plus-space for Jacobi forms of half-integral weight
(Modular Forms : An online conference in honour of Prof. B. Ramakrisnan's 60th birthday 2021)
Maass relations and certain Dirichlet series associated to Siegel modular ofrms.
(HKU Number Theory Days 2019 2019)
Kohnen-Skoruppa-Yamazaki type Dirichlet series with respect to certain Siegel cusp forms of half-integral weight
(Workshop on Jacobi forms and applications 2018)
