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Polynomials with Special Regard to Reducibility

Polynomials with Special Regard to Reducibility

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 77

Medical ReferenceAlgebraGeneral Mathematics

ISBN10: 0521662257
ISBN13: 9780521662253
Publisher: Cambridge University Press
Published: Apr 27 2000
Pages: 570
Weight: 2.05
Height: 1.40 Width: 6.40 Depth: 9.20
Language: English
This treatise covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields, and finitely generated fields. The author includes several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields. Some of these results are based on the recent work of E. Bombieri and U. Zannier, presented here by Zannier in an appendix. The book also treats other subjects such as Ritt's theory of composition of polynomials, and properties of the Mahler measure and concludes with a bibliography of over 300 items.

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Algebra