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.
| ISBN: | 9780521662253 |
| Publication date: | 27th April 2000 |
| Author: | A Instytut Matematyczny PAN, Warsaw Schinzel |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 570 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Number theory Algebra |
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.
Polynomials with Special Regard to Reducibility features in the following genres: Number theory, Algebra
Polynomials with Special Regard to Reducibility is available in Hardback
Polynomials with Special Regard to Reducibility was written by A Instytut Matematyczny PAN, Warsaw Schinzel and published by Cambridge University Press
Polynomials with Special Regard to Reducibility has 570 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£155.70