Name: an approach to the selberg trace formula via the selberg zeta-function (en Inglés)
Price: 226388.00 COP
Availability: InStock
Author: fischer
ISBN: 9783540152088

portada an approach to the selberg trace formula via the selberg zeta-function (en Inglés)

Formato

Libro Físico

Editorial

springer publishing map

Autor

fischer

Idioma

Inglés

ISBN

3540152083

ISBN13

9783540152088

Categorías

Teoría de números

an approach to the selberg trace formula via the selberg zeta-function (en Inglés)

Fischer (Autor) · springer publishing map · Libro Físico

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Reseña del libro "an approach to the selberg trace formula via the selberg zeta-function (en Inglés)"

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 multiplier systems permitting an approach to known results on classical automorphic forms without the riemann-roch theorem. the authors discussion of the selberg trace formula stresses the analogy with the riemann zeta-function. for example, the canonical factorization theorem involves an analogue of the euler constant. finally the general selberg trace formula is deduced easily from the properties of the selberg zeta-function: this is similar to the procedure in analytic number theory where the explicit formulae are deduced from the properties of the riemann zeta-function. apart from the basic spectral theory of the laplacian for cofinite groups the book is self-contained and will be useful as a quick approach to the selberg zeta-function and the selberg trace formula.