Automorphic Forms Representations And L Functions
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Automorphic Forms Representations and L Functions
Author | : Armand Borel,W. Casselman,American Mathematical Society |
Publsiher | : American Mathematical Soc. |
Total Pages | : 382 |
Release | : 1979-06-30 |
Genre | : Mathematics |
ISBN | : 9780821814376 |
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Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Automorphic Forms Representations and L functions
Author | : Armand Borel,W. Casselman,Bill Casselman,American Mathematical Society |
Publsiher | : American Mathematical Soc. |
Total Pages | : 394 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : 9780821867921 |
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Proceedings of Symposia in Pure Mathematics Volume 33 Part 1
Author | : W. Casselman,A. Borel |
Publsiher | : American Mathematical Society |
Total Pages | : 0 |
Release | : 1979 |
Genre | : Automorphic forms |
ISBN | : 0821814354 |
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Automorphic Forms on GL 2
Author | : H. Jacquet |
Publsiher | : Springer |
Total Pages | : 156 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540376125 |
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Automorphic Forms on GL 3 TR
Author | : D. Bump |
Publsiher | : Springer |
Total Pages | : 196 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 9783540390558 |
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Automorphic Representations and L Functions for the General Linear Group Volume 2
Author | : Dorian Goldfeld,Joseph Hundley |
Publsiher | : Cambridge University Press |
Total Pages | : 209 |
Release | : 2011-04-21 |
Genre | : Mathematics |
ISBN | : 9781139503082 |
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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.
Automorphic Forms Representations and L functions
Author | : American Mathematical Society Congresses |
Publsiher | : Unknown |
Total Pages | : 0 |
Release | : 1977 |
Genre | : Electronic Book |
ISBN | : OCLC:1123466737 |
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Automorphic Forms and L Functions for the Group GL n R
Author | : Dorian Goldfeld |
Publsiher | : Cambridge University Press |
Total Pages | : 65 |
Release | : 2006-08-03 |
Genre | : Mathematics |
ISBN | : 9781139456203 |
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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.