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Grundlehren Der Mathematischen Wissenschaften Ser.: Introduction to Modular Forms by Serge A. Lang (1976, Hardcover)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103540078339
ISBN-139783540078333
eBay Product ID (ePID)30258958
Product Key Features
Number of PagesIX, 265 Pages
LanguageEnglish
Publication NameIntroduction to Modular Forms
Publication Year1976
SubjectGeneral, Number Theory, Geometry / Algebraic, Mathematical Analysis
TypeTextbook
AuthorSerge A. Lang
Subject AreaMathematics
SeriesGrundlehren Der Mathematischen Wissenschaften Ser.
FormatHardcover
Dimensions
Item Weight44.4 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN94-048556
ReviewsFrom 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#
Dewey Edition20
Series Volume Number222
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512/.73
Table Of ContentI. 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.
SynopsisFrom 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 #, 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 #
LC Classification NumberQA241-247.5
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