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

JOURNAL OF NUMBER THEORY

卷:133

Article

Kelmer, Dubi

关键词: Trace formula;    Selberg Zeta function;    Hilbert modular groups;   

DOI  :  10.1016/j.jnt.2012.12.008

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free