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  1. Home
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  3. Polynomials with Special Regard to Reducibility
  • Cited by 138
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2000
Online ISBN:
9780511542916
DOI:
https://doi.org/10.1017/CBO9780511542916
Subjects:
Mathematics (general), Mathematics, Number Theory
Series:
Encyclopedia of Mathematics and its Applications (77)
Information

Book 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 Ritt's theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items. This unique work will be a necessary resource for all number theorists and researchers in related fields.

Reviews

‘… interesting and original … contains much material that is unavailable elsewhere.‘

David W. Boyd Source: Zentralblatt MATH

‘This is a wonderful book, filled with unexpected results.‘

A. von der Poorten Source: Niew Archief voor Wiskunde

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