Congruences of modular forms and Selmer groups

DOI10.4310/MRL.2001.V8.N4.A8zbMath1020.11026MaRDI QIDQ5953003

Neil Dummigan

Publication date: 9 October 2003

Published in: Mathematical Research Letters (Search for Journal in Brave)

zbMATH Keywords

discriminant functionelliptic curveSelmer groupsBloch-Kato conjecturecongruenceelements of order 11normalized cusp formquadratic twiststwistsWaldspurger's theorem

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (6)

Explorations in the Theory of Partition Zeta Functions ⋮ Lifting congruences to half-integral weight ⋮ Unnamed Item ⋮ Equidistribution of signs for modular eigenforms of half integral weight ⋮ Zeta-polynomials for modular form periods ⋮ INDIVISIBILITY OF ORDERS OF SELMER GROUPS FOR MODULAR FORMS

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