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

DOI10.1142/s1793042123501051OpenAlexW4363672606MaRDI QIDQ6050860

E. M. Sandeep, Satadal Ganguly

Publication date: 19 September 2023

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

Full work available at URL: https://doi.org/10.1142/s1793042123501051

zbMATH Keywords

critical stripHecke \(L\)-functionsnon-vanishingintegral weight

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Determining modular forms on \(\text{SL}_2(\mathbb Z)\) by central values of convolution \(L\)-functions
• Nonvanishing of Hecke \(L\)-functions associated to cusp forms inside the critical strip
• Linear relations among Poincaré series via harmonic weak Maass forms
• The vanishing of Poincaré series
• The square mean of Dirichlet series associated with cusp forms
• COUNTING HECKE EIGENFORMS WITH NONVANISHING -VALUE

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