Automorphic Forms on Gl (3, Tr)
Author: D Bump
Publisher:
Published: 2014-01-15
Total Pages: 204
ISBN-13: 9783662212462
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Automorphic Forms on GL (3,TR)
Author: D. Bump
Publisher: Lecture Notes in Mathematics
Published: 1984-10
Total Pages: 204
ISBN-13:
DOWNLOAD EBOOK →Automorphic Forms on GL (3,TR)
Author: D. Bump
Publisher: Springer
Published: 2006-12-08
Total Pages: 196
ISBN-13: 3540390553
DOWNLOAD EBOOK →Automorphic Forms on GL (2)
Author: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 560
ISBN-13: 3540362347
DOWNLOAD EBOOK →Automorphic Forms on GL (2)
Author: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 156
ISBN-13: 3540376127
DOWNLOAD EBOOK →Automorphic Forms on GL (2)
Automorphic Forms and Representations
Author: Daniel Bump
Publisher: Cambridge University Press
Published: 1998-11-28
Total Pages: 592
ISBN-13: 9780521658188
DOWNLOAD EBOOK →This book takes advanced graduate students from the foundations to topics on the research frontier.
Automorphic Forms and L-Functions for the Group GL(n,R)
Author: Dorian Goldfeld
Publisher: Cambridge University Press
Published: 2006-08-03
Total Pages: 65
ISBN-13: 1139456202
DOWNLOAD EBOOK →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
Author: Stephen S. Gelbart
Publisher: Princeton University Press
Published: 1975-03-21
Total Pages: 284
ISBN-13: 9780691081564
DOWNLOAD EBOOK →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 Adele Groups. (AM-83), Volume 83
Author: Stephen S. Gelbart
Publisher: Princeton University Press
Published: 2016-03-02
Total Pages: 227
ISBN-13: 1400881617
DOWNLOAD EBOOK →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?
