An Approach to the Selberg Trace Formula via the Selberg Zeta-Function, J?rgen Fischer

Автор: Markus Szymon Fraczek
Название: Selberg Zeta Functions and Transfer Operators
ISBN: 3319512943 ISBN-13(EAN): 9783319512945
Издательство: Springer
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Описание:

Introduction.-Preliminaries.-The Gamma function and the incomplete Gamma functions.-The Hurwitz Zeta Function and the Lerch Zeta Function.-Computation of the spectra and eigenvectors of large complex matrices.-The hyperbolic Laplace-Beltrami operator.-Transfer operators for the geodesic flow on hyperbolic surfaces.-Numerical results for spectra and traces of the transfer operator for character deformations.-Investigations of Selberg zeta functions under character deformations.-Concluding remarks.-Appendices.-References.-Index of Notations.

Автор: Dennis A. Hejhal
Название: The Selberg Trace Formula for PSL (2,R)
ISBN: 3540079882 ISBN-13(EAN): 9783540079880
Издательство: Springer
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Автор: Salahoddin Shokranian
Название: The Selberg-Arthur Trace Formula
ISBN: 3540550216 ISBN-13(EAN): 9783540550211
Издательство: Springer
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Описание: This book based on lectures given by James Arthur discussesthe trace formula of Selberg and Arthur. The emphasis islaid on Arthur`s trace formula for GL(r), with severalexamples in order to illustrate the basic concepts. Orbital integrals andSelberg`s trace formula, 2.3.Three examples, 2.4.

Автор: U. Christian
Название: Selberg`s Zeta-, L-, and Eisensteinseries
ISBN: 3540127011 ISBN-13(EAN): 9783540127017
Издательство: Springer
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Автор: Motohashi
Название: Spectral Theory of the Riemann Zeta-Function
ISBN: 0521058074 ISBN-13(EAN): 9780521058070
Издательство: Cambridge Academ
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Описание: Professor Motohashi shows that the Riemann zeta function is closely bound with automorphic forms and that many results from there can be woven with techniques and ideas from analytic number theory to yield new insights into, and views of, the function itself.

Автор: A. Good
Название: Local Analysis of Selberg`s Trace Formula
ISBN: 3540127135 ISBN-13(EAN): 9783540127130
Издательство: Springer
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Автор: Coates
Название: The Bloch–Kato Conjecture for the Riemann Zeta Function
ISBN: 1107492963 ISBN-13(EAN): 9781107492967
Издательство: Cambridge Academ
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Описание: An account of a significant body of recent work that resolves some long-standing mysteries concerning special values of the Riemann zeta function. It brings together many important results from K-theory, motivic cohomology, and Iwasawa theory, accessible at graduate level and above.

Автор: Hugh Montgomery; Ashkan Nikeghbali; Michael Th. Ra
Название: Exploring the Riemann Zeta Function
ISBN: 3319599682 ISBN-13(EAN): 9783319599687
Издательство: Springer
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Описание:

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

The book focuses on both old and new results towards the solution of long-standing problems as well as it features some key historical remarks. The purpose of this volume is to present in a unified way broad and deep areas of research in a self-contained manner. It will be particularly useful for graduate courses and seminars as well as it will make an excellent reference tool for graduate students and researchers in Mathematics, Cryptography, Mathematical Physics, and Engineering.

Автор: Antanas Laurincikas
Название: Limit Theorems for the Riemann Zeta-Function
ISBN: 0792338243 ISBN-13(EAN): 9780792338246
Издательство: Springer
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Описание: This volume presents a range of results in analytic and probabilistic number theory. The full spectrum of limit theorems in the sense of weak convergence of probability measures for the modules of the Riemann zeta-function and other functions is given by Dirichlet series.