COUNTING HECKE EIGENFORMS WITH NONVANISHING -VALUE

DOI10.1017/S0004972721000927zbMath1505.11078OpenAlexW4207009175MaRDI QIDQ5097515

Murugesan Manickam, E. M. Sandeep, V. Kumar Murty

Publication date: 25 August 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721000927

zbMATH Keywords

modular \(L\)-functionnonvanishingcusp formintegral weightfull modular group

Mathematics Subject Classification ID

Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11) Automorphic forms, one variable (11F12)

Related Items (1)

Zero-free regions for spectral averages of Hecke L-functions

Cites Work

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• On the Phragmén-Lindelöf theorem and some applications
• Simultaneous nonvanishing of products of \(L\)-functions associated to elliptic cusp forms
• Nonvanishing of the central \(L\)-values with large weight
• Nonvanishing of Hecke \(L\)-functions associated to cusp forms inside the critical strip
• Values of \(L\)-series of Hecke eigenforms
• Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
• On the Holomorphy of Certain Dirichlet Series
• Prime number theorems for the coefficients of modular forms
• Modular Forms
• On simultaneous nonvanishing of the central $L$-values
• On the Zeros of Eisenstein Series

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