عنوان
پدید آورنده
موضوع
رده
QA243 .B974 1987
QA243
.
B974
1987
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3642057160
(Number (ISBN
3642514472
(Number (ISBN
9783642057168
(Number (ISBN
9783642514470
NATIONAL BIBLIOGRAPHY NUMBER
Number
b569584
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Introduction to Modular Forms
General Material Designation
[Book]
First Statement of Responsibility
by Serge Lang.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin Heidelberg
Date of Publication, Distribution, etc.
1987
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(IX, 261 pages 9 illustrations)
SERIES
Series Title
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,, 222.
CONTENTS NOTE
Text of Note
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.
SUMMARY OR ABSTRACT
Text of Note
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#.
TOPICAL NAME USED AS SUBJECT
Geometry, Algebraic.
Global analysis (Mathematics)
Mathematics.
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA243
Book number
.
B974
1987
PERSONAL NAME - PRIMARY RESPONSIBILITY
by Serge Lang.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Serge Lang
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
