Dimension formulas of modular form spaces with character for Fricke groups

2022/11/17 by Zhang, Yichao, Zhou, Yang
#11F06 #11F11 #11H55 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2211.09509

Abstract

We first obtain the dimension formulas for the spaces of holomorphic modular forms with character for the Fricke group Γ₀⁺(N), then that for Γ₀^*(N) with all Atkin-Lehner involutions added in a particular case.

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