Polynomials with Special Regard to Reduc

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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 her…

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    Om Polynomials with Special Regard to Reduc

    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.

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    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2000
    Forlag
    Cambridge University Press
    Språk
    Engelsk
    ISBN
    9781107118454

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