p-adic congruences for cycle integrals associated to elliptic curves with complex multiplication

DOI10.1007/BF01456054zbMath0617.10024MaRDI QIDQ1821809

Winfried Kohnen

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164363

zbMATH Keywords

cyclic integralsform of integral weightJacobi-Hecke eigenformp-adic congruenceproduct of Fourier coefficients

Mathematics Subject Classification ID

Elliptic curves (14H52) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Searching for Kummer congruences in an infinite slope family

Cites Work

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• A trace formula for Jacobi forms.
• On construction of holomorphic cusp forms of half integral weight
• L-functions of elliptic curves with complex multiplication, I
• On the Birch and Swinnerton-Dyer conjecture

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