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Polynomials with Special Regard to Reducibility by A. Schinzel

By A. Schinzel

This booklet covers lots of the identified effects on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. effects legitimate in simple terms over finite fields, neighborhood fields or the rational box will not be coated right here, yet a number of theorems on reducibility of polynomials over quantity fields which are both completely genuine or advanced multiplication fields are incorporated. a few of these effects are in keeping with fresh paintings of E. Bombieri and U. Zannier (presented right here by way of Zannier in an appendix). The ebook additionally treats different matters like Ritt's thought of composition of polynomials, and homes of the Mahler degree, and it concludes with a bibliography of over three hundred goods. This specific paintings may be an important source for all quantity theorists and researchers in similar fields.

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