Riemann hypothesis for period polynomials attached to the derivatives of \(L\)-functions of cusp forms for \(\Gamma_0(N)\)

DOI10.1016/j.jmaa.2021.125971zbMath1500.11034OpenAlexW4200369901WikidataQ115188930 ScholiaQ115188930MaRDI QIDQ2075206

Hojin Kim, Bo-Hae Im

Publication date: 14 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125971

zbMATH Keywords

\(L\)-functionsmodular formsperiod polynomials\(L\)-derivatives

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11) Special sequences and polynomials (11B83)

Cites Work

• Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions
• Periods of modular forms and Jacobi theta functions
• La conjecture de Weil. I
• Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials
• Unimodularity of zeros of self-inversive polynomials
• The Nontrivial Zeros of Period Polynomials of Modular Forms Lie on the Unit Circle
• Riemann hypothesis for period polynomials of modular forms
• Unimodularity of zeros of period polynomials of Hecke eigenforms
• 75.9 Euler’s Constant
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