Hoempage of Tobias Mühlenbruch -> Research

Institut für Mathematik

My research interst

List of publications

Articles

D. Mayer, TM, Nearest lambda_q-multiple continued fractions. submitted .
arXiv:0902.3953 [math.NT]
R. Bruggeman, TM, Eigenfunctions of transfer operators and cohomology. J. Number Theory 129 (2009) 158--181.
doi:10.1016/j.jnt.2008.08.003, arXiv:0707.1203 [math.NT]
M. Fraczek, D. Mayer, TM, A realization of the Hecke algebra on the space of period functions for $\Gamma\sb 0(n)$. J. Reine Angew. Math. 603 (2007), 133--163.
doi:10.1515/CRELLE.2007.014, arXiv:math/0512355 [math.NT]
TM, Hecke operators on period functions for $\Gamma\sb 0(n)$. J. Number Theory 118 (2006), no. 2, 208--235.
doi:10.1016/j.jnt.2005.09.003, arXiv:math/0408309 [math.NT]
D. Mayer, TM, From the transfer operator for geodesic flows on modular surfaces to the Hecke operators on period functions of $\Gamma\sb 0(n)$. Algebraic and topological dynamics, 137--161, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.
TM, Hecke operators on period functions for the full modular group. Int. Math. Res. Not. 2004, no. 77, 4127--4145.
doi:10.1155/S1073792804143365, arXiv:math/0407081 [math.NT]

PhD thesis

TM, Systems of automorphic forms and period functions. PhD-Thesis, Utrecht University (2003)