Lectures on Modular Forms

by Robert C. Gunning

Overview

New interest in modular forms of one complex variable has been caused chiefly by the work of Selberg and of Eichler. But there has been no introductory work covering the background of these developments. H. C. Gunning's book surveys techniques and problems; only the simpler cases are treated-modular forms of even weights without multipliers, the principal congruence subgroups, and the Hecke operators for the full modular group alone.

Product Details

ISBN-13:	9780691079950
Publisher:	Princeton University Press
Publication date:	03/21/1962
Series:	Annals of Mathematics Studies , #48
Pages:	96
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• INTRODUCTION, pg. v
• CONTENTS, pg. vi
• CHAPTER I. GEOMETRICAL BACKGROUND, pg. 1
• CHAPTER II. MODULAR FORMS, pg. 18
• CHAPTER III. POINCARÉ SERIES, pg. 28
• CHAPTER IV. EISENSTEIN SERIES, pg. 44
• CHAPTER V. MODULAR CORRESPONDENCES, pg. 57
• CHAPTER VI. QUADRATIC FORMS, pg. 70