On the Distribution of Periods of Holomorphic Cusp Forms and Zeroes of Period Polynomials

DOI10.1093/imrn/rnaa194zbMath1477.11094arXiv1909.09622OpenAlexW3049085201MaRDI QIDQ5005258

Asbjørn Christian Nordentoft

Publication date: 9 August 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.09622

zbMATH Keywords

\(L\)-functionsKloosterman sumsEichler-Shimura map

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67)

Related Items (2)

Central values of additive twists of cuspidal \(L\)-functions ⋮ On the zeros of period functions associated to the Eisenstein series for \(\Gamma_0^+(N)\)

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