English

Dimension formulas of modular form spaces with character for Fricke groups

Number Theory 2022-11-18 v1

Abstract

We first obtain the dimension formulas for the spaces of holomorphic modular forms with character for the Fricke group Γ0+(N)\Gamma_0^+(N), then that for Γ0(N)\Gamma_0^*(N) with all Atkin-Lehner involutions added in a particular case.

Keywords

Cite

@article{arxiv.2211.09509,
  title  = {Dimension formulas of modular form spaces with character for Fricke groups},
  author = {Yichao Zhang and Yang Zhou},
  journal= {arXiv preprint arXiv:2211.09509},
  year   = {2022}
}