On Hecke \(L\)-functions attached to half-integral weight modular forms

DOI10.1016/j.jnt.2017.11.016zbMath1446.11080arXiv1712.05660OpenAlexW2963043889MaRDI QIDQ1748137

Winfried Kohnen, Young Ju Choie

Publication date: 2 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05660

zbMATH Keywords

\(L\)-functionhalf integral weightHecke eigenform

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (1)

Zeros of $L$-functions attached to cusp forms of half-integral weight

Cites Work

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• Non-vanishing of Koecher-Maass series attached to Siegel cusp forms on the real line
• Sums involving the values at negative integers of \(L\)-functions of quadratic characters
• Nonvanishing of Hecke \(L\)-functions associated to cusp forms inside the critical strip
• On the signs of Fourier coefficients of cusp forms
• On calculations of zeros of various \(L\)-functions
• Nonvanishing of Koecher-Maass series attached to Siegel cusp forms
• On modular forms of half integral weight
• Nonvanishing of L-Functions Associated to Cusp Forms of Half-Integral Weight

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