Seiji Kuga

(久家聖二)

Profile Information

Affiliation: Postdoctoral Researcher, Faculty of Science and Technology Department of Information and Communication Sciences, Sophia University

The Rankin-Selberg integral on $GSp(2)$ for square free levels

Seiji Kuga, Masao Tsuzuki

Pacific J. Math., 342, No. 2, Apr, 2026 Peer-reviewed
On the distribution of the zeros of Eisenstein series for $\Gamma _0^*(5)$ and $\Gamma _0^*(7)$

Seiji Kuga

The Ramanujan Journal, 58(4) 995-1010, May 13, 2022 Peer-reviewed
On linear relations for special L-values over certain totally real number fields

Seiji Kuga

International Journal of Number Theory, 18(02) 227-244, Jul 6, 2021 Peer-reviewed

In this paper, we give linear relations between the Fourier coefficients of a special Hilbert modular form of half integral weight and some arithmetic functions. As a result, we have linear relations for the special [Formula: see text]-values over certain totally real number fields.
On the zeros of certain weakly holomorphic modular forms for ${\varGamma }_0^+(5)$ and ${\varGamma }_0^+(7)$

Seiji Kuga

Acta Arithmetica, 201(3) 219-239, 2021 Peer-reviewed
Zeros of certain weakly holomorphic modular forms for the Fricke group ${\varGamma }_0^+(3)$

Seiichi Hanamoto, Seiji Kuga

Acta Arithmetica, 197(1) 37-54, 2021 Peer-reviewed

An asymptotic formula of spectral average of central $L$-values on $GSp_2$ for square-free levels

久家聖二

2024年度RIMS共同研究 “保型形式・保型表現の数論的側面”, 報告集, Jan, 2025
Square-free レベルの2次Siegelカスプ形式に対するRankin-Selberg積分について

久家聖二

第15回福岡数論研究集会報告集, 報告集, Sep, 2023
Hilbert Maass formに対するJacquet-Zagier型レゾルベント跡公式

久家聖二

2021年度RIMS共同研究 “保型形式, 保型$L$-関数とその周辺”, 報告集, Jan, 2022
A resolvent trace formula of Jacquet-Zagier type for Hilbert Maass forms

久家聖二

2021年度RIMS共同研究 “解析的整数論とその周辺”, 報告集, Oct, 2021
On the locations and transcendency of the zeros of weakly holomorphic modular forms

久家聖二

2020年度RIMS共同研究 “解析的整数論の展望と諸問題”, 報告集, Oct, 2020