Symmetric Square L-Functions and Shafarevich-Tate Groups

DOI10.1080/10586458.2001.10504458zbMath1039.11029OpenAlexW2068144755MaRDI QIDQ2775766

Neil Dummigan

Publication date: 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1069786346

zbMATH Keywords

critical valuesKurokawa's congruences

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) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (9)

Congruences for Hecke eigenvalues of Siegel modular forms ⋮ \(\mathrm{GL}_2\times \mathrm{GSp}_2\) \(L\)-values and Hecke eigenvalue congruences ⋮ Siegel modular forms of degree three and the cohomology of local systems ⋮ Symmetric square \(L\)-values and dihedral congruences for cusp forms ⋮ Eisenstein congruences for split reductive groups ⋮ Computations of vector-valued Siegel modular forms ⋮ Congruences among modular forms on \(\text{U}(2,2)\) and the Bloch-Kato conjecture ⋮ Values of symmetric cube $L$-functions and Fourier coefficients of Siegel Eisenstein series of degree-3 ⋮ SYMMETRIC SQUARE L-FUNCTIONS AND SHAFAREVICH–TATE GROUPS, II

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