ENGLISH

Polynomials and their reducibility

By A. Schinzel

Book information

Publisher
Cambridge University Press
Year
2000
ISBN
0521662257, 9780521662253, 9780511010651
LCC
QA161.P59 S337 2000
Open Library ID
OL40063M
Language
english
Format
DJVU
Filesize
3 MB (3248814 bytes)
Series
Encyclopedia of Mathematics and its Applications
Edition
1st
Pages
568\568
Topic
Mathematics Algebra
Library
kolxoz
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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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