Trace formula of certain Hecke operators for Γ0(qν)

DOI10.1017/S0027763000018523zbMath0416.10022OpenAlexW1511388696MaRDI QIDQ3205321

Hiroshi Saito, Masatoshi Yamauchi

Publication date: 1979

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000018523

zbMATH Keywords

decompositionFourier coefficientsprimitive formtrace formula of Hecke operatorsspace of new forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

On a decomposition of spaces of cusp forms and trace formula of Hecke operators ⋮ Modular forms ⋮ Newforms of half-integral weight and the twisting operators ⋮ Hecke structure of spaces of half-integral weight cusp forms

Cites Work

• Eine Verallgemeinerung der Abelschen Integrale
• On the Fourier coefficients of automorphic forms at various cusps and some applications to Rankin's convolution
• Hecke operators on \(\Gamma_0(m)\)
• On Eichler's trace formula
• Class fields over real quadratic fields and Hecke operators
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• On the Doi-Naganuma lifting associated with imaginary quadratic fields
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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