The Selberg Trace Formula for PSL_2(R)^n
Author | : Isaac Y. Efrat |
Publisher | : American Mathematical Soc. |
Total Pages | : 111 |
Release | : 1987 |
ISBN-10 | : 9780821824245 |
ISBN-13 | : 0821824244 |
Rating | : 4/5 (244 Downloads) |
Download or read book The Selberg Trace Formula for PSL_2(R)^n written by Isaac Y. Efrat and published by American Mathematical Soc.. This book was released on 1987 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: We evaluate the Selberg trace formula for all discrete, irreducible, cofinite subgroups of PSL2 ([double-struck capital]R)[italic superscript]n. In particular, this involves studying the spectral theory of the fundamental domain, and the analysis of the appropriate Eisenstein series. A special role is played by the Hilbert modular groups, both because of their relation to the general case, stemming from a rigidity theorem, and their inherent algebraic number theoretic interest.