Square root formulas for central values of Hecke \(L\)-series. II

DOI10.1215/S0012-7094-93-07215-8zbMath0820.11036MaRDI QIDQ1320597

Fernando Rodriguez Villegas

Publication date: 14 September 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hecke \(L\)-seriesimaginary quadratic fieldscentral valuenon- holomorphic derivative of a theta series

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Zeta functions and (L)-functions of number fields (11R42)

Related Items (5)

Nonvanishing of Hecke \(L\)-functions and the Bloch-Kato conjecture ⋮ Central values of Hecke \(L\)-functions of CM number fields ⋮ A nonsplit sum of coefficients of modular forms ⋮ Effective nonvanishing of canonical Hecke $L$-functions ⋮ ON ASYMPTOTIC VALUES OF CANONICAL QUADRATIC L-FUNCTIONS

Cites Work

• Unnamed Item
• The theta correspondence and harmonic forms. I
• Heegner points and derivatives of \(L\)-series
• 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 square root of special values of certain \(L\)-series
• Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus
• On the periods of modular forms
• On modular forms of half integral weight
• On the Birch and Swinnerton-Dyer conjecture

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