Eisenstein Series On The Metaplectic Group An Algebraic Approac
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Eisenstein Series On The Metaplectic Group
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Author : G. F. Helminck
language : en
Publisher:
Release Date : 1983
Eisenstein Series On The Metaplectic Group written by G. F. Helminck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Eisenstein series categories.
Eisenstein Series On The Metaplectic Group
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Author : Gerardus F. Helminck
language : en
Publisher:
Release Date : 1981
Eisenstein Series On The Metaplectic Group written by Gerardus F. Helminck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Eisenstein Series On The Metaplectic Group An Algebraic Approac
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Author : Gerardus Franciscus Helminck
language : en
Publisher:
Release Date : 1981
Eisenstein Series On The Metaplectic Group An Algebraic Approac written by Gerardus Franciscus Helminck and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Eisenstein Series And Automorphic L Functions
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Author : Freydoon Shahidi
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Eisenstein Series And Automorphic L Functions written by Freydoon Shahidi 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 2010 with Mathematics categories.
This book presents a treatment of the theory of $L$-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms, as well as definitive solutions to certain problems in analytic and algebraic number theory. This book gives a detailed treatment of important parts of this theory, including a rather complete proof of Casselman-Shalika's formula for unramified Whittaker functions as well as a general treatment of the theory of intertwining operators. It also covers in some detail the global aspects of the method as well as some of its applications to group representations and harmonic analysis. This book is addressed to graduate students and researchers who are interested in the Langlands program in automorphic forms and its connections with number theory.
Weil S Representation And The Spectrum Of The Metaplectic Group
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Author : Stephen S. Gelbart
language : en
Publisher: Springer
Release Date : 2006-11-14
Weil S Representation And The Spectrum Of The Metaplectic Group written by Stephen S. Gelbart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Eisenstein Series And Applications
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Author : Wee Teck Gan
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-22
Eisenstein Series And Applications written by Wee Teck Gan 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 2007-12-22 with Mathematics categories.
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.
Euler Products And Eisenstein Series
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Author : Gorō Shimura
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Euler Products And Eisenstein Series written by Gorō Shimura 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 1997 with Eisenstein series categories.
This volume has three chief objectives: 1) the determination of local Euler factors on classical groups in an explicit rational form; 2) Euler products and Eisenstein series on a unitary group of an arbitrary signature; and 3) a class number formula for a totally definite hermitian form. Though these are new results that have never before been published, Shimura starts with a quite general setting. He includes many topics of an expository nature so that the book can be viewed as an introduction to the theory of automorphic forms of several variables, Hecke theory in particular. Eventually, the exposition is specialized to unitary groups, but they are treated as a model case so that the reader can easily formulate the corresponding facts for other groups. There are various facts on algebraic groups and their localizations that are standard but were proved in some old papers or just called well-known. In this book, the reader will find the proofs of many of them, as well as systematic expositions of the topics. This is the first book in which the Hecke theory of a general (nonsplit) classical group is treated. The book is practically self-contained, except that familiarity with algebraic number theory is assumed.
Poles And Residues Of Eisenstein Series For Symplectic And Unitary Groups
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Author : Paul Feit
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Poles And Residues Of Eisenstein Series For Symplectic And Unitary Groups written by Paul Feit 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 1986 with Mathematics categories.
We study non-holomorphic Eisenstein series which are defined with respect to the symplectic group over a totally real field, or to the special unitary group of signature ([italic]m, [italic]m) over a CM-field.
Eisenstein Series And Automorphic Representations
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Author : Philipp Fleig
language : en
Publisher: Cambridge Studies in Advanced
Release Date : 2018-07-05
Eisenstein Series And Automorphic Representations written by Philipp Fleig and has been published by Cambridge Studies in Advanced this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-05 with Mathematics categories.
Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
Cubic Metaplectic Forms And Theta Functions
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Author : Nikolai Proskurin
language : en
Publisher: Springer
Release Date : 2006-11-14
Cubic Metaplectic Forms And Theta Functions written by Nikolai Proskurin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. A special method is developed and applied to find Fourier coefficients of the Eisenstein series and cubic theta functions. The book is intended for readers, with beginning graduate-level background, interested in further research in the theory of metaplectic forms and in possible applications.