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Generalizations of Thomae's Formula for Zn Curves (Record no. 22889)

000 -LEADER
fixed length control field 03078nam a22005055i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151445.0
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 101110s2011 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441978479
978-1-4419-7847-9
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA564-609
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.35
Edition number 23
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2011.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Farkas, Hershel M.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Generalizations of Thomae's Formula for Zn Curves
Medium [electronic resource] /
Statement of responsibility, etc by Hershel M. Farkas, Shaul Zemel.
300 ## - PHYSICAL DESCRIPTION
Extent XVII, 354 p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Developments in Mathematics, Diophantine Approximation: Festschrift for Wolfgang Schmidt,
International Standard Serial Number 1389-2177 ;
Volume number/sequential designation 21
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note - Introduction.- 1. Riemann Surfaces -- 2. Zn Curves -- 3. Examples of Thomae Formulae -- 4. Thomae Formulae for Nonsingular Zn Curves -- 5. Thomae Formulae for Singular Zn Curves.-6. Some More Singular Zn Curves.-Appendix A. Constructions and Generalizations for the Nonsingular and Singular Cases.-Appendix B. The Construction and Basepoint Change Formulae for the Symmetric Equation Case.-References.-List of Symbols.-Index.
520 ## - SUMMARY, ETC.
Summary, etc This book provides a comprehensive overview of the theory of theta functions, as applied to compact Riemann surfaces, as well as the necessary background for understanding and proving the Thomae formulae. The exposition examines the properties of a particular class of compact Riemann surfaces, i.e., the Zn curves, and thereafter focuses on how to prove the Thomae formulae, which give a relation between the algebraic parameters of the Zn curve, and the theta constants associated with the Zn curve. Graduate students in mathematics will benefit from the classical material, connecting Riemann surfaces, algebraic curves, and theta functions, while young researchers, whose interests are related to complex analysis, algebraic geometry, and number theory, will find new rich areas to explore. Mathematical physicists and physicists with interests also in conformal field theory will surely appreciate the beauty of this subject.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Geometry, algebraic.
Topical term or geographic name as entry element Functions of complex variables.
Topical term or geographic name as entry element Differential equations, partial.
Topical term or geographic name as entry element Functions, special.
Topical term or geographic name as entry element Number theory.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebraic Geometry.
Topical term or geographic name as entry element Functions of a Complex Variable.
Topical term or geographic name as entry element Several Complex Variables and Analytic Spaces.
Topical term or geographic name as entry element Special Functions.
Topical term or geographic name as entry element Number Theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zemel, Shaul.
Relator term author.
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 9781441978462
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4419-7847-9
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library516.35

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