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2020 | OriginalPaper | Chapter

5. Period Functions

Authors : Tobias Mühlenbruch, Wissam Raji

Published in: On the Theory of Maass Wave Forms

Publisher: Springer International Publishing

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Abstract

We introduce period functions and give several relations to (families of) Maass cusp forms. We present some remarks about Zagier’s cohomology theorem that generalizes the Eichler cohomology theorem. We conclude this chapter with a discussion of Hecke operators acting on period functions.

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previous chapter Families of Maass Cusp Forms, L-Series, and Eichler Integrals

next chapter Continued Fractions and the Transfer Operator Approach

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Title: Period Functions
Authors: Tobias Mühlenbruch
Wissam Raji
Publisher: Springer International Publishing
Book: On the Theory of Maass Wave Forms
Print ISBN: 978-3-030-40477-2

Electronic ISBN: 978-3-030-40475-8

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-3-030-40475-8_5

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