Effective nonvanishing of canonical Hecke $L$-functions

DOI10.1090/S0002-9939-2010-10430-6zbMath1219.11170MaRDI QIDQ3056534

Peter Diao, George Boxer

Publication date: 12 November 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

quadratic fieldHecke \(L\)-function

Mathematics Subject Classification ID

Zeta functions and (L)-functions of number fields (11R42)

Cites Work

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• Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture
• On the L-functions of canonical Hecke characters of imaginary quadratic fields. II
• Arithmetic on elliptic curves with complex multiplication. With an appendix by B. Mazur
• The non-vanishing of certain Hecke \(L\)-functions at the center of the critical strip
• On the L-functions of canonical Hecke characters of imaginary quadratic fields
• Galois conjugacy of unramified twists of Hecke characters
• On the periods of modular forms
• Bounds for automorphic \(L\)-functions. II
• Square root formulas for central values of Hecke \(L\)-series. II
• Non-vanishing of the central derivative of canonical Hecke \(L\)-functions
• The vanishing order of certain Hecke \(L\)-functions of imaginary quadratic fields
• Central values of Hecke \(L\)-functions of CM number fields
• Nonvanishing of central Hecke L-values and rank of certain elliptic curves
• Asymptotics for Sums of Central Values of Canonical Hecke L-Series
• Quantitative Nonvanishing of L-Series Associated to Canonical Hecke Characters
• Nonnegative quadratic forms and bounds on orthogonal polynomials

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