Period polynomials, derivatives of \(L\)-functions, and zeros of polynomials

DOI10.1007/s40687-018-0126-4zbMath1457.11032arXiv1707.04814OpenAlexW2963580271MaRDI QIDQ2319739

Larry Rolen, Nikolaos Diamantis

Publication date: 20 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.04814

zbMATH Keywords

periods of modular formsEichler cohomologyderivatives of \(L\)-functionscritical \(L\)-values

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)

Related Items

Period functions associated to real-analytic modular forms ⋮ The Riemann hypothesis for period polynomials of Hilbert modular forms ⋮ On the zeros of period functions associated to the Eisenstein series for \(\Gamma_0^+(N)\) ⋮ Riemann hypothesis for period polynomials attached to the derivatives of \(L\)-functions of cusp forms for \(\Gamma_0(N)\)

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