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...
This treatise covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields, and finitely generat...
Complete proofs of both new results and original work on polynomials and Diophantine equations are presented here for the first time in book form. Although the results are technical, they will be of interest to algebraists and those interested in algebraic number theory.
Complete proofs of both new results and original work on polynomials and Diophantine equations are presented here for the first time in book form. Alt...
