## Polynomials with Special Regard to ReducibilityThis 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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### Contents

Notation | 8 |

Lacunary polynomials over an arbitrary field | 92 |

Polynomials over an algebraically closed field | 201 |

Polynomials over a finitely generated field | 263 |

Polynomials over a number field | 315 |

Polynomials over a Kroneckerian field | 390 |

Appendices | 481 |

540 | |

555 | |

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.- . Polynomials with Special Regard to Reducibility

Polynomials with special regard to reducibility / Andrzej Schinzel;. with an appendix by Umberto Zannier. p. cm. Includes bibliographic references and index ...

assets.cambridge.org/ 97805216/ 62253/ frontmatter/ 9780521662253_frontmatter.pdf

Smyth: An explicit formula for the Mahler measure of a family of **...**

[Sc] A. Schinzel, Polynomials with Special Regard to Reducibility. With an appendix by Umberto Zannier. Encyclopedia of Mathematics and its Applications, ...

jtnb.cedram.org/ jtnb-bin/ fitem?id=JTNB_2002__14_2_683_0

Polynomials With Special Regard to Reducibility - jácotei

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Zannier: On the integer solutions of exponential equations in **...**

[S] A. Schinzel, Polynomials with special regard to reducibility, Encyclopedia of Mathematics and its applications vol. 77 , Cambridge Univ. ...

www.numdam.org/ numdam-bin/ fitem?id=AIF_2004__54_4_849_0

Библиотека научной литературы: книги, журналы, статьи **...**

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Anomalous Subvarieties---Structure Theorems and Applications

Bombieri, E. (2007) “Anomalous Subvarieties—Structure Theorems and Applications,”. International Mathematics Research Notices, Vol. 2007, Article ID rnm057, ...

imrn.oxfordjournals.org/ cgi/ reprint/ 2007/ rnm057/ rnm057.pdf

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