Modular Forms: Basics and Beyond (Record no. 101208)
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000 -LEADER | |
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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 |
-- | |
-- | 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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