On simultaneous nonvanishing of the central $L$-values

DOI10.1090/proc/13572zbMath1421.11047OpenAlexW2557812401MaRDI QIDQ5351784

Wenzhi Luo

Publication date: 30 August 2017

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

Full work available at URL: https://doi.org/10.1090/proc/13572

zbMATH Keywords

quadratic twistscentral \(L\)-valuesShimura correspondencehalf-integral weight modular formsWaldspurger formula

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

COUNTING HECKE EIGENFORMS WITH NONVANISHING -VALUE ⋮ Level aspect of simultaneous nonvanishing for the central 𝐿-values associated to cusp forms

Cites Work

• Unnamed Item
• Modular forms of half-integral weight on \(\Gamma_0(4)\)
• Fourier coefficients and modular forms of half-integral weight
• Nonvanishing of the central \(L\)-values with large weight
• Values of L-series of modular forms at the center of the critical strip
• Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets
• Correspondances de Shimura et quaternions

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