Congruences of the eigenvalues of Hecke operators

DOI10.3792/pjaa.53.125zbMath0462.10016OpenAlexW2025332652MaRDI QIDQ1153178

Kazuyuki Hatada

Publication date: 1977

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.53.125

zbMATH Keywords

congruencesmodular symbolsperiodsaction of Hecke operatorseigenvalues of Hecke operatorsintegral cohomology groups

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Congruences for modular and (p)-adic modular forms (11F33) Automorphic forms, one variable (11F12)

Related Items

Congruences of the eigenvalues of Hecke operators ⋮ Dihedral group, 4-torsion on an elliptic curve, and a peculiar eigenform modulo 4 ⋮ Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\) ⋮ On the divisibility by 2 of the eigenvalues of Hecke operators ⋮ On certain finiteness questions in the arithmetic of modular forms

Cites Work

• Congruences of the eigenvalues of Hecke operators
• On the divisibility by 2 of the eigenvalues of Hecke operators
• PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
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