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math.NT2004★ 5 cited
The Lewis Correspondence for submodular groups
Anton Deitmar, Joachim Hilgert
The Lewis Correspondence attaching a unique "period function" to each Maass wave form for SL(2,Z) is extended to subgroups of finite index. This is achieved by using vector-valued…
math.NT2003
Cohomology of arithmetic groups with infinite dimensional coefficient spaces
Anton Deitmar, Joachim Hilgert
The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional Modules are computed. As a result we get a simultaneous generalization of the Patterson-Conjectu…
math.NT2003★ 27 cited
Transfer operators for and the Hecke operators for the period functions for
J. Hilgert, D. Mayer, H. Movasati
In this article we report on a surprising relation between the transfer operators for the congruence subgroups and the Hecke operators on the space of period functions f…