Spectral Theory Of Automorphic Functions
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Spectral Theory Of Automorphic Functions
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Author : A.B. Venkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spectral Theory Of Automorphic Functions written by A.B. Venkov 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 2012-12-06 with Mathematics categories.
'Et moi ..., si j'avait su comment en revcnrr, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back. Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Spectral Theory Of Automorphic Functions
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Author : A. B. Venkov
language : en
Publisher: American Mathematical Soc.
Release Date : 1983
Spectral Theory Of Automorphic Functions written by A. B. Venkov 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 1983 with Mathematics categories.
Spectral Theory Of Automorphic Functions
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Author : A B Venkov
language : en
Publisher:
Release Date : 1990-10-31
Spectral Theory Of Automorphic Functions written by A B Venkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10-31 with categories.
Spectral Theory Of Automorphic Functions
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Author : A. B. Venkov
language : en
Publisher:
Release Date : 1981
Spectral Theory Of Automorphic Functions written by A. B. Venkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Automorphic functions categories.
Spectral Methods Of Automorphic Forms
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Author : Henryk Iwaniec
language : en
Publisher: American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain
Release Date : 2021-11-17
Spectral Methods Of Automorphic Forms written by Henryk Iwaniec and has been published by American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-17 with Mathematics categories.
Automorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.
Introduction To The Spectral Theory Of Automorphic Forms
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Author : Henryk Iwaniec
language : en
Publisher:
Release Date : 1995
Introduction To The Spectral Theory Of Automorphic Forms written by Henryk Iwaniec and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Automorphic forms categories.
Cohomological Theory Of Dynamical Zeta Functions
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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.
An Introduction To The Langlands Program
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Author : Joseph Bernstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-11
An Introduction To The Langlands Program written by Joseph Bernstein 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 2013-12-11 with Mathematics categories.
For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field.
Number Theory With An Emphasis On The Markoff Spectrum
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Author : Andrew Pollington
language : en
Publisher: Routledge
Release Date : 2017-10-05
Number Theory With An Emphasis On The Markoff Spectrum written by Andrew Pollington and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Mathematics categories.
Presenting the proceedings of a recently held conference in Provo, Utah, this reference provides original research articles in several different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic ideas, Number Theory with an Emphasis on the Markoff Spectrum contains refereed contributions on: general problems of diophantine approximation; quadratic forms and their connections with automorphic forms; the modular group and its subgroups; continued fractions; hyperbolic geometry; and the lower part of the Markoff spectrum.;Written by over 30 authorities in the field, this book should be a useful resource for research mathematicians in harmonic analysis, number theory algebra, geometry and probability and graduate students in these disciplines.
Scattering Theory Revised Edition
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Author : Peter D. Lax
language : en
Publisher: Academic Press
Release Date : 1990-02-22
Scattering Theory Revised Edition written by Peter D. Lax and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-02-22 with Mathematics categories.
This revised edition of a classic book, which established scattering theory as an important and fruitful area of research, reflects the wealth of new results discovered in the intervening years. This new, revised edition should continue to inspire researchers to expand the application of the original ideas proposed by the authors.