Nonvanishing of L-Functions Associated to Cusp Forms of Half-Integral Weight

DOI10.1007/978-3-319-11352-4_16zbMath1359.11058arXiv1312.4672OpenAlexW1556932597MaRDI QIDQ5253451

Karam Deo Shankhadhar, B. Ramakrishnan

Publication date: 26 May 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.4672

zbMATH Keywords

\(L\)-functionsnonvanishingHecke eigenformsFricke involution

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) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (7)

Zeros of $L$-functions attached to cusp forms of half-integral weight ⋮ On the non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight ⋮ Non-vanishing of derivatives of L-functions associated to cusp forms of half-integral weight in the plus space ⋮ On quotients of derivatives of \(L\)-functions inside the critical strip ⋮ Non-vanishing of products of Fourier coefficients of modular forms of half-integral weight ⋮ On Hecke \(L\)-functions attached to half-integral weight modular forms ⋮ Non-vanishing of \(L\)-functions associated to cusp forms of half-integral weight in the plus space

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