Selberg zeta functions over function fields

JOURNAL OF NUMBER THEORY

卷:90

Article

Nagoshi, H

关键词: Selberg trace formula;    Ihara Selberg zeta function;    function field;    Ramanujan graph diagram;   

DOI  :  10.1006/jnth.2001.2658

来源: Elsevier

【 摘 要 】

We compute explicitly the Selberg trace formula for principal congruence subgroups of PGL(2, F-q[t]) which is the modular group in positive characteristic cases. We also express the Selberg zeta function its a determinant ol. the Laplacian which is composed of both discrete and continuous spectra. All factors are calculated explicitly and they are rational functions in q(-s). (C) 2001 Academic Press.

【 授权许可】

Free