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＜電子ブック＞
Introduction to Modular Forms / by Serge Lang
(Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics. ISSN:21969701 ; 222)

版	1st ed. 1987.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1987
本文言語	英語
大きさ	IX, 265 p : online resource
著者標目	*Lang, Serge author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Mathematical analysis LCSH:Algebraic geometry FREE:Number Theory FREE:Analysis FREE:Algebraic Geometry
一般注記	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 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# HTTP:URL=https://doi.org/10.1007/978-3-642-51447-0

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