An Approach to the Selberg Trace Formula Via the Selberg Zeta-Function

by Jürgen Fischer

The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2, #3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. Previous knowledge of the Selberg trace formula is not assumed. The theory is developed for arbitrary real weights and for arbitrary...

• Format: Paperback
• Language: English
• ISBN: 3540152083
• ISBN13: 9783540152088
• Release Date: April 1987
• Publisher: Springer
• Length: 188 Pages
• Weight: 0.61 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"