Elementary Dirichlet Series and Modular Forms / Edition 1

Elementary Dirichlet Series and Modular Forms / Edition 1

by Goro Shimura
     
 

ISBN-10: 1441924787

ISBN-13: 9781441924780

Pub. Date: 11/19/2010

Publisher: Springer New York

A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are presented along with known old results in a clear exposition. It is with this philosophy that the author writes this volume. The two subjects,

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Overview

A book on any mathematical subject beyond the textbook level is of little value unless it contains new ideas and new perspectives. It helps to include new results, provided that they give the reader new insights and are presented along with known old results in a clear exposition. It is with this philosophy that the author writes this volume. The two subjects, Dirichlet series and modular forms, are traditional subjects, but here they are treated in both orthodox and unorthodox ways. Regardless of the unorthodox treatment, the author has made the book accessible to those who are not familiar with such topics by including plenty of expository material.

Product Details

ISBN-13:
9781441924780
Publisher:
Springer New York
Publication date:
11/19/2010
Series:
Springer Monographs in Mathematics Series
Edition description:
Softcover reprint of hardcover 1st ed. 2007
Pages:
152
Product dimensions:
5.90(w) x 9.00(h) x 0.40(d)

Table of Contents

Preliminaries on Modular Forms and Dirichlet Series.- Critical Values of Dirichlet L-functions.- The Case of Imaginary Quadratic Fields and Nearly Holomorphic Modular Forms.- Eisenstein Series.- Critical Values of Dirichlet Series Associated with Imaginary Quadratic Fields.- Supplementary Results.

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