Dimension formulas for modular form spaces with character for Fricke groups
Volume 206 / 2022
Acta Arithmetica 206 (2022), 291-311
MSC: Primary 11F11; Secondary 11F06, 11H55.
DOI: 10.4064/aa211126-17-11
Published online: 21 December 2022
Abstract
We first obtain the dimension formulas for the spaces of holomorphic modular forms with character for the Fricke group $\Gamma _0^+(N)$, and then for $\Gamma _0^*(N)$ with all Atkin–Lehner involutions added in a particular case.