Selberg Zeta And Theta Functions
DOWNLOAD
FREE 30 Days
Download Selberg Zeta And Theta Functions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Selberg Zeta And Theta Functions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Selberg Zeta And Theta Functions
DOWNLOAD
FREE 30 Days
Author : Ulrich Bunke
language : en
Publisher: De Gruyter Akademie Forschung
Release Date : 1995
Selberg Zeta And Theta Functions written by Ulrich Bunke and has been published by De Gruyter Akademie Forschung this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
The authors give a self contained exposition of the theory of Selberg zeta and theta functions for bundles on compact locally symmetric spaces of rank 1. The connection between these functions and the spectrum of certain elliptic differential operators is provided by a version of the Selberg trace formula. The theta function is a regularized trace of the wave group. Originally defined geometrically, the Selberg zeta function has a representation in terms of regularized determinants. This leads to a complete description of its singularities. These results are employed in order to establish a functional equation and further properties of the Ruelle zeta function. A couple of explicit examples is worked out. Additional chapters are devoted to the theta function of Riemannian surfaces with cusps and to alternative descriptions of the singularities of the Selberg zeta function in terms of Lie algebra and group cohomology.
The Wave Kernel For The Laplacian On Locally Symmetric Spaces Of Rank One Theta Functions Trace Formulas And The Selberg Zeta Function
DOWNLOAD
FREE 30 Days
Author :
language : en
Publisher:
Release Date : 1993
The Wave Kernel For The Laplacian On Locally Symmetric Spaces Of Rank One Theta Functions Trace Formulas And The Selberg Zeta Function written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Zeta Functions In Geometry
DOWNLOAD
FREE 30 Days
Author : Kurokawa N. (Nobushige)
language : en
Publisher:
Release Date : 1992
Zeta Functions In Geometry written by Kurokawa N. (Nobushige) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
This book contains accounts of work presented during the research conference, ``Zeta Functions in Geometry,'' held at the Tokyo Institute of Technology in August 1990. The aim of the conference was to provide an opportunity for the discussion of recent results by geometers and number theorists on zeta functions in several different categories. The exchange of ideas produced new insights on various geometric zeta functions, as well as the classical zeta functions. The zeta functions covered here are the Selberg zeta functions, the Ihara zeta functions, spectral zeta functions, and those associated with prehomogeneous vector spaces. Accessible to graduate students with background in geometry and number theory, Zeta Functions in Geometry will prove useful for its presentation of new results and up-to-date surveys.
Algebraic Groups
DOWNLOAD
FREE 30 Days
Author : Yuri Tschinkel
language : en
Publisher: Universitätsverlag Göttingen
Release Date : 2007
Algebraic Groups written by Yuri Tschinkel and has been published by Universitätsverlag Göttingen this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Algebraic varieties categories.
A Brief Introduction To Theta Functions
DOWNLOAD
FREE 30 Days
Author : Richard Bellman
language : en
Publisher: Courier Corporation
Release Date : 2013-11-05
A Brief Introduction To Theta Functions written by Richard Bellman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-05 with Mathematics categories.
Brief but intriguing monograph on the theory of elliptic functions, written by a prominent mathematician. Spotlights high points of the fundamental regions and illustrates powerful, versatile analytic methods. 1961 edition.
Dynamical Spectral And Arithmetic Zeta Functions
DOWNLOAD
FREE 30 Days
Author : Michel Laurent Lapidus
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Dynamical Spectral And Arithmetic Zeta Functions written by Michel Laurent Lapidus and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The original zeta function was studied by Riemann as part of his investigation of the distribution of prime numbers. Other sorts of zeta functions were defined for number-theoretic purposes, such as the study of primes in arithmetic progressions. This led to the development of $L$-functions, which now have several guises. It eventually became clear that the basic construction used for number-theoretic zeta functions can also be used in other settings, such as dynamics, geometry, and spectral theory, with remarkable results. This volume grew out of the special session on dynamical, spectral, and arithmetic zeta functions held at the annual meeting of the American Mathematical Society in San Antonio, but also includes four articles that were invited to be part of the collection. The purpose of the meeting was to bring together leading researchers, to find links and analogies between their fields, and to explore new methods. The papers discuss dynamical systems, spectral geometry on hyperbolic manifolds, trace formulas in geometry and in arithmetic, as well as computational work on the Riemann zeta function. Each article employs techniques of zeta functions. The book unifies the application of these techniques in spectral geometry, fractal geometry, and number theory. It is a comprehensive volume, offering up-to-date research. It should be useful to both graduate students and confirmed researchers.
Cohomological Theory Of Dynamical Zeta Functions
DOWNLOAD
FREE 30 Days
Author : Andreas Juhl
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Cohomological Theory Of Dynamical Zeta Functions written by Andreas Juhl and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and were suggested by an analogy between Weil's explicit formula for the Riemann zeta function and Selberg's trace formula ([261]). The purpose of the cohomological theory is to understand the analytical properties of the zeta functions on the basis of suitable analogs of the Lefschetz fixed point formula in which periodic orbits of the geodesic flow take the place of fixed points. This approach is parallel to Weil's idea to analyze the zeta functions of pro jective algebraic varieties over finite fields on the basis of suitable versions of the Lefschetz fixed point formula. The Lefschetz formula formalism shows that the divisors of the rational Hassc-Wcil zeta functions are determined by the spectra of Frobenius operators on l-adic cohomology.
Selberg Zeta Functions And Transfer Operators
DOWNLOAD
FREE 30 Days
Author : Markus Szymon Fraczek
language : en
Publisher: Springer
Release Date : 2017-05-11
Selberg Zeta Functions And Transfer Operators written by Markus Szymon Fraczek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-11 with Mathematics categories.
This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.
Selberg S Zeta L And Eisensteinseries
DOWNLOAD
FREE 30 Days
Author : U. Christian
language : en
Publisher: Springer
Release Date : 2006-11-15
Selberg S Zeta L And Eisensteinseries written by U. Christian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Zeta Functions Over Zeros Of Zeta Functions
DOWNLOAD
FREE 30 Days
Author : André Voros
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-21
Zeta Functions Over Zeros Of Zeta Functions written by André Voros and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-21 with Mathematics categories.
In this text, the famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions)are analyzed through several zeta functions built over those zeros.