Automorphic Forms and L-Functions for the Group GL(n,R) - Couverture souple

Goldfeld, Dorian

 
9781107565029: Automorphic Forms and L-Functions for the Group GL(n,R)
Couverture souple
ISBN 10 : 1107565022 ISBN 13 : 9781107565029
Editeur : Cambridge University Press, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Revue de presse

'... a gentle introduction to this fascinating new subject. The presentation is very explicit and many examples are worked out with great detail ... This book should be of great interest to students beginning with the theory of modular forms or for more advanced readers wanting to know about general L-functions.' Emmanuel P. Royer, Mathematical Reviews

'This book, whose clear and sometimes simplified proofs make the basic theory of automorphic forms on GL(n) accessible to a wide audience, will be valuable for students. It nicely complements D. Bump's book (Automorphic Forms and Representations, Cambridge, 1997), which offers a greater emphasis on representation theory and a different selection of topics.' Zentralblatt MATH

'Unfortunately, when n > 2 the GL(n) theory is not very accessible to the student of analytic number theory, yet it is increasing in importance. [This book] addresses this problem by developing a large part of the theory in a way that is carefully designed to make the field accessible ... much of the literature is written in the adele language, and seeing how it translates into classical terms is both useful and enlightening ... This is a unique and very welcome book, one that the student of automorphic forms will want to study, and also useful to experts.' Daniel Bump, SIAM Review

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2015
Langue
anglais
ISBN 10 
1107565022
ISBN 13 
9781107565029
Reliure
Broché
Nombre de pages
508
Coordonnées du fabricant
non disponible
Personne responsable
Julien Soullard
contact@avery.fr

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Autres éditions populaires du même titre

9780521837712: Automorphic Forms and L-Functions for the Group GL(n,R)

Edition présentée

ISBN 10 :  0521837715 ISBN 13 :  9780521837712
Editeur : Cambridge University Press, 2006
Couverture rigide