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Polynomials with Special Regard to Reducibility. (Record no. 33195)

000 -LEADER
fixed length control field	05065nam a22004573i 4500
001 - CONTROL NUMBER
control field	EBC143912
003 - CONTROL NUMBER IDENTIFIER
control field	MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20181121123431.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field	m o d \|
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr cnu\|\|\|\|\|\|\|\|
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	181113s2000 xx o \|\|\|\|0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9780511151231
--	(electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN	9780521662253
035 ## - SYSTEM CONTROL NUMBER
System control number	(MiAaPQ)EBC143912
035 ## - SYSTEM CONTROL NUMBER
System control number	(Au-PeEL)EBL143912
035 ## - SYSTEM CONTROL NUMBER
System control number	(CaPaEBR)ebr5005972
035 ## - SYSTEM CONTROL NUMBER
System control number	(CaONFJC)MIL42092
035 ## - SYSTEM CONTROL NUMBER
System control number	(OCoLC)437072440
040 ## - CATALOGING SOURCE
Original cataloging agency	MiAaPQ
Language of cataloging	eng
Description conventions	rda
--	pn
Transcribing agency	MiAaPQ
Modifying agency	MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA161.P59 S337 2000
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	512.942
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Schinzel, A.
245 10 - TITLE STATEMENT
Title	Polynomials with Special Regard to Reducibility.
264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc	Cambridge :
Name of publisher, distributor, etc	Cambridge University Press,
Date of publication, distribution, etc	2000.
264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Date of publication, distribution, etc	©2000.
300 ## - PHYSICAL DESCRIPTION
Extent	1 online resource (570 pages)
336 ## - CONTENT TYPE
Content type term	text
Content type code	txt
Source	rdacontent
337 ## - MEDIA TYPE
Media type term	computer
Media type code	c
Source	rdamedia
338 ## - CARRIER TYPE
Carrier type term	online resource
Carrier type code	cr
Source	rdacarrier
490 1# - SERIES STATEMENT
Series statement	Encyclopedia of Mathematics and its Applications ;
Volume number/sequential designation	v.77
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	Cover -- Half-title -- Series-title -- Title -- Copyright -- Contents -- Preface -- Acknowledgments -- Introduction -- Notation -- 1 Arbitrary polynomials over an arbitrary field -- 1.1 Lüroth's theorem -- 1.2 Theorems of Gordan and E. Noether -- 1.3 Ritt's first theorem -- 1.4 Ritt's second theorem -- 1.5 Connection between reducibility and decomposability. The case of two variables -- 1.6 Kronecker's theorems on factorization of polynomials -- 1.7 Connection between reducibility and decomposability. The case of more than two variables -- 1.8 Some auxiliary results -- 1.9 A connection between irreducibility of a polynomial and of its substitution value after a specialization of some of the… -- 1.10 A polytope and a matrix associated with a polynomial -- 2 Lacunary polynomials over an arbitrary field -- 2.1 Theorems of Capelli and Kneser -- 2.2 Applications to polynomials in many variables -- 2.3 An extension of a theorem of Gourin -- 2.4 Reducibility of polynomials in many variables, that are trinomials with respect to one of them -- 2.5 Reducibility of quadrinomials in many variables -- 2.6 The number of terms of a power of a polynomial -- 3 Polynomials over an algebraically closed field -- 3.1 A theorem of E. Noether -- 3.2 Theorems of Ruppert -- 3.3 Salomon's and Bertini's theorems on reducibility -- 3.4 The Mahler measure of polynomials over C -- 4 Polynomials over a finitely generated field -- 4.1 A refinement of Gourin's theorem -- 4.2 A lower bound for the Mahler measure of a polynomial over Z -- 4.3 The greatest common divisor of… -- 4.4 Hilbert's irreducibility theorem -- 5 Polynomials over a number field -- 5.1 Introduction -- 5.2 The classes C(K, r, 1) -- 5.3 Families of diagonal ternary quadratic forms each isotropic over K -- 5.4 The class C(K, r, 2) -- 5.5 The class… -- 5.6 The class C(K, r, s) for arbitrary s.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note	5.7 The class C(K, r, s) for arbitrary s -- 5.8 The class C(K, r, s) for arbitrary s -- 5.9 A digression on kernels of lacunary polynomials -- 6 Polynomials over a Kroneckerian field -- 6.1 The Mahler measure of non-self-inversive polynomials -- 6.2 Non-self-inversive factors of a lacunary polynomial -- 6.3 Self-inversive factors of lacunary polynomials -- 6.4 The generalized Brauers-Hopf problem -- Appendices -- Appendix A. Algebraic functions of one variable -- Appendix B. Elimination theory -- Appendix C. Permutation groups and abstract groups -- Appendix D. Diophantine equations -- Appendix E. Matrices and lattices -- Appendix F. Finite fields and congruences -- Appendix G. Analysis -- Appendix I. Inequalities -- Appendix J. Distribution of primes -- Appendix K. Convexity -- Appendix by Umberto Zannier. Proof of Conjecture 1 -- 1. Tools from geometry -- 2. Lattices and algebraic groups -- 3. Weil heights -- 4. Heights in X… -- 5. Finiteness of maximal anomalous intersections -- Step 1. Increasing the dimension -- Step 2. Decreasing the dimension to 1 -- Step 3. Constructing anomalous intersection points -- Step 4. Application of Proposition 1 to conclude -- 6. Deduction of Conjecture 1 for number fields -- Bibliography -- Standard references -- References -- Index of definitions and conjectures -- Index of theorems -- Index of terms.
520 ## - SUMMARY, ETC.
Summary, etc	This book covers most of the known results on reducibility of polynomials.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note	Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note	Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2018. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Polynomials.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term	Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Print version:
Main entry heading	Schinzel, A.
Title	Polynomials with Special Regard to Reducibility
Place, publisher, and date of publication	Cambridge : Cambridge University Press,c2000
International Standard Book Number	9780521662253
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element	ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title	Encyclopedia of Mathematics and its Applications
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	<a href="https://ebookcentral.proquest.com/lib/buse-ebooks/detail.action?docID=143912">https://ebookcentral.proquest.com/lib/buse-ebooks/detail.action?docID=143912</a>
Public note	Click to View

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