Seiji Kuga

collaborators

2 papers

math.NT2026

The Eichler--Selberg trace formula for Hilbert cusp forms, the class numbers of quartic CM fields, and their distributions

Seiji Kuga, Andrei Seymour-Howell, Satoshi Wakatsuki

Motivated by Su's construction of Cohen-type Eisenstein series of half-integral weight over totally real number fields \cite{Su16}, we introduce a generalization of Hurwitz class n…

math.NT2018

Zeros of certain weakly holomorphic modular forms for the Fricke group $Γ_{0}^{+} (3)$

Seiichi Hanamoto, Seiji Kuga

Let $M_{k}^{!} (Γ_{0}^{+} (3))$ be the space of weakly holomorphic modular forms of weight $k$ for the Fricke group of level $3$ . We introduce a natural basis for $M_{k}^{!} (Γ_{0}^{+} (3))$ and prove…

The Eichler--Selberg trace formula for Hilbert cusp forms, the class numbers of quartic CM fields, and their distributions

Zeros of certain weakly holomorphic modular forms for the Fricke group Γ0+​(3)

Zeros of certain weakly holomorphic modular forms for the Fricke group $Γ_{0}^{+} (3)$