On a decomposition of spaces of cusp forms and trace formula of Hecke operators

DOI10.1017/S0027763000019097zbMath0455.10015OpenAlexW1533880340MaRDI QIDQ3903069

Hiroshi Saito

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1017/s0027763000019097

zbMATH Keywords

Fourier coefficients of primitive forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (4)

On twisting operators and newforms of half-integral weight ⋮ On some examples of modular QM-abelian surfaces ⋮ Modular forms with large coefficient fields via congruences ⋮ Galois action on some ideal section points of the abelian variety associated with a modular form and its application

Cites Work

• Eine Verallgemeinerung der Abelschen Integrale
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• The special values of the zeta functions associated with Hilbert modular forms
• 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 traces of Hecke operators for a normalizer of \(\Gamma_0\)(N)
• Trace formula of certain Hecke operators for Γ₀(q^ν)
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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