Automorphic integrals with log-polynomial period functions and arithmetical identities

DOI10.1016/j.indag.2023.03.006zbMath1524.11111arXiv2208.03102OpenAlexW4365517329MaRDI QIDQ6041366

Hunduma Legesse Geleta, Abdul Hassen, Tewlede G/Egziabher

Publication date: 26 May 2023

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.03102

zbMATH Keywords

Hecke groupsautomorphic integralsDirichlet series with functional equationlog-polynomial period functions and Bessel functions

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

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• Hecke's functional equation and arithmetical identities
• Log-polynomial period functions for Hecke groups
• A Hecke correspondence theorem for nonanalytic automorphic integrals
• Laplace's Integral, the Gamma Function, and beyond

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