Author : Isaac Y. Efrat
Release : 1987
Genre : Mathematics
Kind : eBook
Book Rating : 244/5 ( reviews)
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Book Synopsis The Selberg Trace Formula for PSL_2(R)^n by : Isaac Y. Efrat
Download or read book The Selberg Trace Formula for PSL_2(R)^n written by Isaac Y. Efrat. This book was released on 1987. 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.