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arXiv:math/0407081 [math.NT]AbstractReferencesReviewsResources

Hecke operators on period functions for the full modular group

Tobias Mühlenbruch

Published 2004-07-06, updated 2005-02-11Version 2

Matrix representations of Hecke operators on classical holomorphical cusp forms and corresponding period polynomials are well known. In this article we define Hecke operators on period functions and show that they correspond to the Hecke operators on Maass cusp forms. Moreover we give an explicite general compatibility criterion for formal sums of matrices to represent Hecke operators ob period functions. An explicite example with only nonnegative entries in the matrices is constructed.

Comments: corrected Version, 18 pages
Journal: IMRN2004, no. 77, 4127-4148
Categories: math.NT
Subjects: 11F25, 11F67
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