LIBERO WebOPAC Catalogue Display (W561)

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 . Analysis . Analysis (Mathematics) . Geometry, Algebraic . Mathematical analysis . Number Theory . Authors: Lang, Serge. 1927-2005 . Lang, Serge, 1927-2005. . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 512.7 . 512.7 (DDC 21) .

Catalogue Display

Introduction to Modular Forms

Reviews