Symmetric square \(L\)-values and dihedral congruences for cusp forms

DOI10.1016/j.jnt.2010.01.012zbMath1213.11109OpenAlexW2041238514MaRDI QIDQ983305

Neil Dummigan, Bernhard E. Heim

Publication date: 22 July 2010

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.01.012

zbMATH Keywords

modular formBloch-Kato conjectureL-function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Class numbers of quadratic and Hermitian forms (11E41)

Related Items

Twisted adjoint \(L\)-values, dihedral congruence primes and the Bloch-Kato conjecture

Cites Work

• The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits
• Eine Verallgemeinerung der Bernoullischen Zahlen
• Serre's modularity conjecture: the level one case
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On \(\ell\)-adic representations attached to modular forms
• The class number of an imaginary quadratic field
• Symmetric Square L-Functions and Shafarevich-Tate Groups
• Some arithmetic properties of generalized Bernoulli numbers
• On the Holomorphy of Certain Dirichlet Series
• The Congruences of Clausen-von Staudt and Kummer for Half-integral Weight Eisenstein Series
• The Tamagawa number conjecture of adjoint motives of modular forms
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