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Dimension formulas for modular form spaces with character for Fricke groups

Volume 206 / 2022

Yichao Zhang, Yang Zhou 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.

Authors

  • Yichao ZhangSchool of Mathematics
    Harbin Institute of Technology
    150001 Harbin, P.R. China
    e-mail
  • Yang ZhouSchool of Mathematics
    Harbin Institute of Technology
    150001 Harbin, P.R. China
    e-mail

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