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math.NT2012
Perturbation of zeros of the Selberg zeta-function for
Roelof Bruggeman, Markus Fraczek, Dieter Mayer
We study the asymptotic behavior of zeros of the Selberg zeta-function for the congruence subgroup as a function of a one-parameter family of characters tending to the tri…
math.NT2010
Symmetries of the transfer operator for and a character deformation of the Selberg zeta function for
Markus Fraczek, Dieter Mayer
The transfer operator for and trivial character possesses a finite group of symmetries generated by permutation matrices with . Every such symmetry leads…
math.NT2005★ 18 cited
A realization of the Hecke algebra on the space of period functions for Gamma_0(n)
M. Fraczek, D. Mayer, T. Mühlenbruch
The standard realization of the Hecke algebra on classical holomorphic cusp forms and the corresponding period polynomials is well known. In this article we consider a nonstandard…