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Introduction to Modular Forms
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Catalogue Information
Field name
Details
Dewey Class
512.7
Title
Introduction to Modular Forms ([EBook]) / by Serge Lang.
Author
Lang, Serge. , 1927-2005
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 1987.
Physical Details
IX, 265 pages : online resource.
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
0072-7830 ; ; 222
ISBN
9783642514470
Summary 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#.:
Contents 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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-642-51447-0
Links to Related Works
Subject References:
Algebraic Geometry
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Analysis
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Analysis (Mathematics)
.
Geometry, Algebraic
.
Mathematical analysis
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Number Theory
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Authors:
Lang, Serge. 1927-2005
.
Lang, Serge, 1927-2005.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
.
Classification:
512.7
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512.7 (DDC 21)
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