Author: H. JacquetPublisher: Springer
ISBN: 3540376127
Category : Mathematics
Languages : en
Pages : 156
Book Description
Automorphic Forms on GL (2)
Author: H. JacquetPublisher: Springer
ISBN: 3540376127
Category : Mathematics
Languages : en
Pages : 156
Book Description
Automorphic Forms on GL(2) Vol. I
Author: Hervé JacquetPublisher:
ISBN:
Category : Automorphic forms
Languages : en
Pages : 548
Book Description
Automorphic Forms on GL (3,TR)
Author: D. BumpPublisher: Springer
ISBN: 3540390553
Category : Mathematics
Languages : en
Pages : 196
Book Description
Automorphic Forms and L-Functions for the Group GL(n,R)
Author: Dorian GoldfeldPublisher: Cambridge University Press
ISBN: 1139456202
Category : Mathematics
Languages : en
Pages : 65
Book Description
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 GL(2)
Author: Automorphic Forms on Gl (2)
Author: H. JacquetPublisher:
ISBN: 9783662205877
Category :
Languages : en
Pages : 164
Book Description
Automorphic Forms and Galois Representations: Volume 1
Author: Fred DiamondPublisher: Cambridge University Press
ISBN: 1316062333
Category : Mathematics
Languages : en
Pages : 385
Book Description
Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.
Automorphic Forms on GL (2)
Author: H. JacquetPublisher: Springer
ISBN: 3540362347
Category : Mathematics
Languages : en
Pages : 560
Book Description
Automorphic Forms, Representations and $L$-Functions
Author: Armand BorelPublisher: American Mathematical Soc.
ISBN: 0821814370
Category : Mathematics
Languages : en
Pages : 394
Book Description
Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Modern Analysis of Automorphic Forms By Example: Volume 2
Author: Paul GarrettPublisher: Cambridge University Press
ISBN: 1108669212
Category : Mathematics
Languages : en
Pages : 367
Book Description
This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 2 features critical results, which are proven carefully and in detail, including automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. Volume 1 features discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.