Automorphic Forms On Gl 3 Tr
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Automorphic Forms On Gl 3 Tr
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Author : D Bump
language : en
Publisher:
Release Date : 2014-01-15
Automorphic Forms On Gl 3 Tr written by D Bump and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Automorphic Forms On Gl 3 Tr
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Author : D. Bump
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1984-10
Automorphic Forms On Gl 3 Tr written by D. Bump and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-10 with Mathematics categories.
Automorphic Forms And Representations
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Author : Daniel Bump
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-28
Automorphic Forms And Representations written by Daniel Bump and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-28 with Mathematics categories.
This book takes advanced graduate students from the foundations to topics on the research frontier.
Automorphic Forms On Gl 3 Tr
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Author : D. Bump
language : en
Publisher: Springer
Release Date : 2006-12-08
Automorphic Forms On Gl 3 Tr written by D. Bump and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.
Automorphic Forms On Gl 2
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Author : H. Jacquet
language : en
Publisher: Springer
Release Date : 2006-11-15
Automorphic Forms On Gl 2 written by H. Jacquet 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.
Automorphic Forms On Gl 2
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Author : Hervé Jacquet
language : en
Publisher:
Release Date : 1970
Automorphic Forms On Gl 2 written by Hervé Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Automorphic forms categories.
Automorphic Representations Of Low Rank Groups
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Author : Yuval Zvi Flicker
language : en
Publisher: World Scientific
Release Date : 2006
Automorphic Representations Of Low Rank Groups written by Yuval Zvi Flicker and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side reflect deep relations on the automorphic side, called OC liftingsOCO. This book concentrates on two initial examples: the symmetric square lifting from SL(2) to PGL(3), reflecting the 3-dimensional representation of PGL(2) in SL(3); and basechange from the unitary group U(3, E/F) to GL(3, E), [E: F] = 2. The book develops the technique of comparison of twisted and stabilized trace formulae and considers the OC Fundamental LemmaOCO on orbital integrals of spherical functions. Comparison of trace formulae is simplified using OC regularOCO functions and the OC liftingOCO is stated and proved by means of character relations. This permits an intrinsic definition of partition of the automorphic representations of SL(2) into packets, and a definition of packets for U(3), a proof of multiplicity one theorem and rigidity theorem for SL(2) and for U(3), a determination of the self-contragredient representations of PGL(3) and those on GL(3, E) fixed by transpose-inverse-bar. In particular, the multiplicity one theorem is new and recent. There are applications to construction of Galois representations by explicit decomposition of the cohomology of Shimura varieties of U(3) using Deligne''s (proven) conjecture on the fixed point formula. Sample Chapter(s). Chapter 1: Functoriality and Norms (963 KB). Contents: On the Symmetric Square Lifting: Functoriality and Norms; Orbital Integrals; Twisted Trace Formula; Total Global Comparison; Applications of a Trace Formula; Computation of a Twisted Character; Automorphic Representations of the Unitary Group U(3, E/F): Local Theory; Trace Formula; Liftings and Packets; Zeta Functions of Shimura Varieties of U(3): Automorphic Representations; Local Terms; Real Representations; Galois Representations. Readership: Graduate students and researchers in number theory, algebra and representation theory."
Automorphic Forms And L Functions For The Group Gl N R
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2006-08-03
Automorphic Forms And L Functions For The Group Gl N R written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-03 with Mathematics categories.
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
Automorphic Forms On Adele Groups
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Author : Stephen S. Gelbart
language : en
Publisher: Princeton University Press
Release Date : 1975-03-21
Automorphic Forms On Adele Groups written by Stephen S. Gelbart and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-03-21 with Mathematics categories.
This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr?
Automorphic Forms On Gl 2 Vol I
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Author : Hervé Jacquet
language : en
Publisher:
Release Date : 1970
Automorphic Forms On Gl 2 Vol I written by Hervé Jacquet and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Automorphic forms categories.