Congruences between modular forms: Raising the level and dropping Euler factors

DOI10.1073/pnas.94.21.11143zbMath0902.11018OpenAlexW1987173776WikidataQ36257847 ScholiaQ36257847MaRDI QIDQ4372155

Fred Diamond

Publication date: 21 September 1998

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.94.21.11143

zbMATH Keywords

newformsperiodSelmer groupcongruences between modular formsGalois cohomology groupcohomology congruence modulevalue of an \(L\)-function

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (6)

On the quantitative variation of congruence ideals and integral periods of modular forms ⋮ Iwasawa invariants for symmetric square representations ⋮ The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces ⋮ Examples of abelian surfaces failing the local-global principle for isogenies ⋮ Galois structure of the holomorphic differentials of curves ⋮ Congruence formula for certain dihedral twists

Cites Work

• Congruences of cusp forms and special values of their zeta functions
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• On deformation rings and Hecke rings

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