On the zeros of period functions associated to the Eisenstein series for \(\Gamma_0^+(N)\)

DOI10.1016/j.jnt.2021.06.021zbMath1491.11043OpenAlexW3184845666WikidataQ114156865 ScholiaQ114156865MaRDI QIDQ2071701

Bo-Hae Im, So Young Choi

Publication date: 28 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.06.021

zbMATH Keywords

Eisenstein seriesperiod functions\(N\)-self-inversive polynomials

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Addendum to: Unimodularity of zeros of self-inversive polynomials
• Eichler-Shimura theory for mock modular forms
• Variations of the Ramanujan polynomials and remarks on \(\zeta(2j+1)/\pi^{2j+1}\)
• Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials
• Mock period functions in higher level cases
• 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
• Mock modular period functions and $L$-functions of cusp forms in higher level cases
• On the Distribution of Periods of Holomorphic Cusp Forms and Zeroes of Period Polynomials
• Ramanujan’s Formula for ζ(2n + 1)
• Unimodularity of zeros of period polynomials of Hecke eigenforms
• Self-inversive polynomials with all zeros on the unit circle

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