Hybrid trace formula for a non-uniform irreducible lattice in PSL2(R)(n)

作者：Kelmer Dubi^*

来源：Journal of Number Theory, 2013, 133(7): 2277-2306.

DOI：10.1016/j.jnt.2012.12.008

• Trace formula
• Selberg Zeta function
• Hilbert modular groups

In a series of lectures Selberg introduced a trace formula on the space of hybrid Maass-modular forms of an irreducible uniform lattice in PSL2(R)(n). In this paper we derive the analogous formula for a non-uniform lattice and use it to study the distribution of elliptic-hyperbolic conjugacy classes. In particular, for Hilbert modular groups there is a nice interpretation of these results in terms of class numbers and fundamental units of quadratic forms over totally real number fields.

• 出版日期2013-7