Introduction to Modular Forms
From the reviews: "This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms."

#Mathematical Reviews#

"This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms."

#Publicationes Mathematicae#

1116791851
Introduction to Modular Forms
From the reviews: "This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms."

#Mathematical Reviews#

"This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms."

#Publicationes Mathematicae#

139.99 In Stock
Introduction to Modular Forms

Introduction to Modular Forms

by Serge Lang
Introduction to Modular Forms

Introduction to Modular Forms

by Serge Lang

Overview

From the reviews: "This book gives a thorough introduction to several theories that are fundamental to research on modular forms. Most of the material, despite its importance, had previously been unavailable in textbook form. Complete and readable proofs are given... In conclusion, this book is a welcome addition to the literature for the growing number of students and mathematicians in other fields who want to understand the recent developments in the theory of modular forms."

#Mathematical Reviews#

"This book will certainly be indispensable to all those wishing to get an up-to-date initiation to the theory of modular forms."

#Publicationes Mathematicae#

Product Details

ISBN-13: 9783642057168
Publisher: Springer Berlin Heidelberg
Publication date: 11/19/2010
Series: Grundlehren der mathematischen Wissenschaften , #222
Edition description: Softcover reprint of the original 1st ed. 1987
Pages: 265
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

I. Classical Theory.- I. Modular Forms.- II. Hecke Operators.- III. Petersson Scalar Product.- Appendix by D. Zagier. The Eichler-Selberg Trace Formula on SL2(Z).- II. Periods of Cusp Forms.- IV. Modular Symbols.- V. Coefficients and Periods of Cusp Forms on SL2(Z).- VI. The Eichler-Shimura Isomorphism on SL2(Z).- III. Modular Forms for Congruence Subgroups.- VII. Higher Levels.- VIII. Atkin-Lehner Theory.- IX. The Dedekind Formalism.- IV. Congruence Properties and Galois Representations.- X. Congruences and Reduction mod p.- XI. Galois Representations.- V. p-Adic Distributions.- XII. General Distributions.- XIII. Bernoulli Numbers and Polynomials.- XIV. The Complex L-Functions.- XV. The Hecke-Eisenstein and Klein Forms.
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