Nonvanishing of central Hecke L-values and rank of certain elliptic curves

DOI10.1023/A:1000934108242zbMath1073.11512OpenAlexW2117587575MaRDI QIDQ4265750

Tonghai Yang

Publication date: 1999

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1000934108242

zbMATH Keywords

eigenfunctionnonvanishing

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20)

Related Items (11)

The vanishing order of certain Hecke \(L\)-functions of imaginary quadratic fields ⋮ Fourier-Jacobi periods and the central value of Rankin-Selberg \(L\)-functions ⋮ Non-vanishing of central \(L\)-values of canonical CM elliptic curves with quadratic twists ⋮ Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ On the Jacobian of a family of hyperelliptic curves ⋮ On the central derivative of Hecke \(L\)-series ⋮ A nonsplit sum of coefficients of modular forms ⋮ Heegner zeros of theta functions ⋮ Nonvanishing of Hecke \(L\)-functions for CM fields and ranks of Abelian varieties ⋮ Effective nonvanishing of canonical Hecke $L$-functions ⋮ On the 2-adic valuations of central \(L\)-values of elliptic curves

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