Polynomials with Special Regard to Reducibility

Name: Polynomials with Special Regard to Reducibility
Price: 76.94 USD
Availability: InStock
ISBN: 9780521662253

ISBN-10: 0521662257

ISBN-13: 9780521662253

Edition: 2000

Authors: A. Schinzel, B. Doran, P. Flajolet, M. Ismail, T. Y. Lam

List price: $190.00

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Description:

This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are based on recent work of E. Bombieri and U. Zannier (presented here by Zannier in an appendix). The book also treats other subjects like Ritts theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items.…

Book details

List price: $190.00
Copyright year: 2000
Publisher: Cambridge University Press
Publication date: 4/27/2000
Binding: Hardcover
Pages: 570
Size: 6.14" wide x 9.21" long x 1.26" tall
Weight: 2.134
Language: English



Preface


Acknowledgments


Introduction


Notation



Arbitrary polynomials over an arbitrary field



Lacunary polynomials over an arbitrary field



Polynomials over an algebraically closed field



Polynomials over a finitely generated field



Polynomials over a number field



Polynomials over a Kroneckerian field



Algebraic functions of one variable



Elimination theory



Permutation groups and abstract groups



Diophantine equations



Matrices and lattices



Finite fields and congruences



Analysis



Inequalities



Distribution of primes



Convexity



Proof of Conjecture 1



Bibliography


Indices


Index of definitions and conjectures


Index of theorems


Index of terms