Number Theory 3: Iwasawa Theory and Modular Forms - Couverture souple

Kurokawa, Nobushige; Kurihara, Masato; Saito, Takeshi

 
9780821820957: Number Theory 3: Iwasawa Theory and Modular Forms
Couverture souple
ISBN 10 : 0821820958 ISBN 13 : 9780821820957
Editeur : American Mathematical Society, 2012

Synopsis

This is the third of three related volumes on number theory. (The first two volumes were also published in the Iwanami Series in Modern Mathematics, as volumes 186 and 240.) The two main topics of this book are Iwasawa theory and modular forms. The presentation of the theory of modular forms starts with several beautiful relations discovered by Ramanujan and leads to a discussion of several important ingredients, including the zeta-regularized products, Kronecker's limit formula, and the Selberg trace formula. The presentation of Iwasawa theory focuses on the Iwasawa main conjecture, which establishes far-reaching relations between a $p$-adic analytic zeta function and a determinant defined from a Galois action on some ideal class groups. This book also contains a short exposition on the arithmetic of elliptic curves and the proof of Fermat's last theorem by Wiles. Together with the first two volumes, this book is a good resource for anyone learning or teaching modern algebraic number theory.

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

À propos de l?auteur

Nobushige Kurokawa, Tokyo Institute of Technology, Tokyo, Japan,

Masato Kurihara, Keio University, Yokohama, Japan,

Takeshi Saito, University of Tokyo, Tokyo, Japan

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

Éditeur
American Mathematical Society
Date d'édition
2012
Langue
anglais
ISBN 10 
0821820958
ISBN 13 
9780821820957
Reliure
Broché
Nombre de pages
226
Coordonnées du fabricant
non disponible
Personne responsable
non disponible