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Author : D Bump
Publisher :
ISBN 13 : 9783662212462
Total Pages : 204 pages
Book Rating : 4.2/5 (124 download)
Download or read book Automorphic Forms on Gl (3, Tr) written by D Bump and published by . This book was released on 2014-01-15 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Bump
Publisher : Springer
ISBN 13 : 3540390553
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)
Download or read book Automorphic Forms on GL (3,TR) written by D. Bump and published by Springer. This book was released on 2006-12-08 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Jacquet
Publisher :
ISBN 13 : 9783662204016
Total Pages : 564 pages
Book Rating : 4.2/5 (4 download)
Download or read book Automorphic Forms on Gl (2) written by H. Jacquet and published by . This book was released on 2014-01-15 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Bump
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.3/5 (91 download)
Download or read book Automorphic Forms on GL (3,TR) written by D. Bump and published by Lecture Notes in Mathematics. This book was released on 1984-10 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Jacquet
Publisher : Springer
ISBN 13 : 3540376127
Total Pages : 156 pages
Book Rating : 4.5/5 (43 download)
Download or read book Automorphic Forms on GL (2) written by H. Jacquet and published by Springer. This book was released on 2006-11-15 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Jacquet
Publisher :
ISBN 13 : 9783662205877
Total Pages : 164 pages
Book Rating : 4.2/5 (58 download)
Download or read book Automorphic Forms on Gl (2) written by H. Jacquet and published by . This book was released on 2014-09-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hervé Jacquet
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (834 download)
Download or read book Automorphic forms on GL (2) written by Hervé Jacquet and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hervé Jacquet
Publisher :
ISBN 13 :
Total Pages : 548 pages
Book Rating : 4.:/5 (18 download)
Download or read book Automorphic Forms on GL(2) Vol. I written by Hervé Jacquet and published by . This book was released on 1970 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. Jacquet
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 1102 pages
Book Rating : 4.E/5 ( download)
Download or read book Automorphic Forms on GL (2) written by H. Jacquet and published by Lecture Notes in Mathematics. This book was released on 1970 with total page 1102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dorian Goldfeld
Publisher : Cambridge University Press
ISBN 13 : 1139503081
Total Pages : 209 pages
Book Rating : 4.1/5 (395 download)
Download or read book Automorphic Representations and L-Functions for the General Linear Group: Volume 2 written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2011-04-21 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.
Author : Dorian Goldfeld
Publisher : Cambridge University Press
ISBN 13 : 1139456202
Total Pages : 65 pages
Book Rating : 4.1/5 (394 download)
Download or read book Automorphic Forms and L-Functions for the Group GL(n,R) written by Dorian Goldfeld and published by Cambridge University Press. This book was released on 2006-08-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Stephen S. Gelbart
Publisher : Princeton University Press
ISBN 13 : 9780691081564
Total Pages : 284 pages
Book Rating : 4.0/5 (815 download)
Download or read book Automorphic Forms on Adele Groups written by Stephen S. Gelbart and published by Princeton University Press. This book was released on 1975-03-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?
Author : Stephen S. Gelbart
Publisher : Princeton University Press
ISBN 13 : 1400881617
Total Pages : 227 pages
Book Rating : 4.4/5 (8 download)
Download or read book Automorphic Forms on Adele Groups. (AM-83), Volume 83 written by Stephen S. Gelbart and published by Princeton University Press. This book was released on 2016-03-02 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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?
Author : Roelof W. Bruggeman
Publisher : Springer Science & Business Media
ISBN 13 : 3034603363
Total Pages : 320 pages
Book Rating : 4.0/5 (346 download)
Download or read book Families of Automorphic Forms written by Roelof W. Bruggeman and published by Springer Science & Business Media. This book was released on 2010-02-28 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Automorphic forms on the upper half plane have been studied for a long time. Most attention has gone to the holomorphic automorphic forms, with numerous applications to number theory. Maass, [34], started a systematic study of real analytic automorphic forms. He extended Hecke’s relation between automorphic forms and Dirichlet series to real analytic automorphic forms. The names Selberg and Roelcke are connected to the spectral theory of real analytic automorphic forms, see, e. g. , [50], [51]. This culminates in the trace formula of Selberg, see, e. g. , Hejhal, [21]. Automorphicformsarefunctionsontheupperhalfplanewithaspecialtra- formation behavior under a discontinuous group of non-euclidean motions in the upper half plane. One may ask how automorphic forms change if one perturbs this group of motions. This question is discussed by, e. g. , Hejhal, [22], and Phillips and Sarnak, [46]. Hejhal also discusses the e?ect of variation of the multiplier s- tem (a function on the discontinuous group that occurs in the description of the transformation behavior of automorphic forms). In [5]–[7] I considered variation of automorphic forms for the full modular group under perturbation of the m- tiplier system. A method based on ideas of Colin de Verdi` ere, [11], [12], gave the meromorphic continuation of Eisenstein and Poincar ́ e series as functions of the eigenvalue and the multiplier system jointly. The present study arose from a plan to extend these results to much more general groups (discrete co?nite subgroups of SL (R)).
Author :
Publisher :
ISBN 13 : 9814464945
Total Pages : pages
Book Rating : 4.8/5 (144 download)
Download or read book The Descent Map from Automorphic Representations of GL(n) to Classical Groups written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Goldfeld
Publisher :
ISBN 13 : 9780511317057
Total Pages : 493 pages
Book Rating : 4.3/5 (17 download)
Download or read book Automorphic Forms and L-functions for the Group GL(n, R) written by D. Goldfeld and published by . This book was released on 2006 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 basic knowledge of classical analysis, complex variable theory, and algebra.
Author : Yuval Zvi Flicker
Publisher : World Scientific
ISBN 13 : 9812773622
Total Pages : 499 pages
Book Rating : 4.8/5 (127 download)
Download or read book Automorphic Representations of Low Rank Groups written by Yuval Zvi Flicker and published by World Scientific. This book was released on 2006 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
