Topics in Number Theory - Couverture rigide

Eie, Minking

 
9789812835185: Topics in Number Theory

Synopsis

This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over Cayley numbers developed by the author from 1990 to 2000. Applications to the classical Euler sums are of special interest to those who are eager to evaluate double Euler sums or more general multiple zeta values. The celebrated sum formula proved by Granville in 1997 is generalized to a more general form here.

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Revue de presse

This book is really quite unusual among works in analytic number theory since it provides a rather quick line of ascent to something not only pretty exotic and exciting but also absent from the usual repertoire of a practitioner of the art ... Topics in Number Theory is a very interesting book indeed. --MAA Online Book Review

This is a fine book, interesting both to students who want to get into the subject as well as for experienced researchers. --Winfried Kohnen Prof Dr University of Heidelberg, Germany

This book is not too technical and should be appropriate as a textbook for graduate students in number theory. --Mathematical Reviews

Présentation de l'éditeur

This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over Cayley numbers developed by the author from 1990 to 2000. Applications to the classical Euler sums are of special interest to those who are eager to evaluate double Euler sums or more general multiple zeta values. The celebrated sum formula proved by Granville in 1997 is generalized to a more general form here.

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