Modular Forms: Basics and Beyond (Record no. 101208)

000 -LEADER
fixed length control field 02859nam a22004455i 4500
001 - CONTROL NUMBER
control field 978-1-4614-2125-2
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220083245.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 111117s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461421252
-- 978-1-4614-2125-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4614-2125-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA297-299.4
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKS
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT021000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT006000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 518
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Shimura, Goro.
Relator term author.
245 10 - TITLE STATEMENT
Title Modular Forms: Basics and Beyond
Medium [electronic resource] /
Statement of responsibility, etc by Goro Shimura.
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2012.
300 ## - PHYSICAL DESCRIPTION
Extent X, 178 p.
Other physical details online resource.
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# - SERIES STATEMENT
Series statement Springer Monographs in Mathematics,
International Standard Serial Number 1439-7382
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Notation and Terminology -- Chapter I. Preliminaries -- Chapter II. Theta Functions and Factors of Automorphy -- Chapter III. The Rationality and Eisenstein Series -- Chapter IV. The Correspondence between Forms of Integral and Half-integral Weight -- Chapter V. The Arithmeticity of Critical Values of Dirichlet Series -- Appendix -- References -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This is an advanced book on modular forms. While there are many books published about modular forms, they are written at an elementary level, and not so interesting from the viewpoint of a reader who already knows the basics. This book offers something new, which may satisfy the desire of such a reader. However, we state every definition and every essential fact concerning classical modular forms of one variable. One of the principal new features of this book is the theory of modular forms of half-integral weight, another being the discussion of theta functions and Eisenstein series of holomorphic and nonholomorphic types. Thus the book is presented so that the reader can learn such theories systematically. Ultimately, we concentrate on the following two themes: (I) The correspondence between the forms of half-integral weight and those of integral weight. (II) The arithmeticity of various Dirichlet series associated with modular forms of integral or half-integral weight. Goro Shimura is currently a professor emeritus of mathematics at Princeton University.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Numerical analysis.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Numerical Analysis.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781461421245
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Monographs in Mathematics,
-- 1439-7382
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4614-2125-2
912 ## -
-- ZDB-2-SMA

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