Tags
Language
Tags
April 2025
Su Mo Tu We Th Fr Sa
30 31 1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 1 2 3
Attention❗ To save your time, in order to download anything on this site, you must be registered 👉 HERE. If you do not have a registration yet, it is better to do it right away. ✌

( • )( • ) ( ͡⚆ ͜ʖ ͡⚆ ) (‿ˠ‿)
SpicyMags.xyz

Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory

Posted By: insetes
Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory

Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory By Juergen Elstrodt, Fritz Grunewald, Jens Mennicke
1997 | 272 Pages | ISBN: 3540627456 | PDF | 22 MB


This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for cofinite groups. This culminates in explicit versions of the Selberg trace formula and the Selberg zeta-function. The interplay with arithmetic is demonstrated by means of the groups PSL(2) over rings and of quadratic integers, their Eisenstein series and their associated Hermitian forms. A rich chapter on concrete examples of arithmetic and non-arithmetic cofinite groups enhances the usefulness of this work for a wide circle of mathematicians.