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Polynomials with Special Regard to Reducibility

Polynomials with Special Regard to Reducibility


Part of Encyclopedia of Mathematics and its Applications

  • Date Published: April 2000
  • availability: Available
  • format: Hardback
  • isbn: 9780521662253

£ 142.00

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About the Authors
  • 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.

    • This will be the book on this subject
    • The author is the acknowledged master of this theory
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    Reviews & endorsements

    '… interesting and original … contains much material that is unavailable elsewhere.' David W. Boyd, Zentralblatt MATH

    'This is a wonderful book, filled with unexpected results.' A. von der Poorten, Niew Archief voor Wiskunde

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    Product details

    • Date Published: April 2000
    • format: Hardback
    • isbn: 9780521662253
    • length: 570 pages
    • dimensions: 234 x 156 x 32 mm
    • weight: 0.97kg
    • contains: 2 tables
    • availability: Available
  • Table of Contents

    1. Arbitrary polynomials over an arbitrary field
    2. Lacunary polynomials over an arbitrary field
    3. Polynomials over an algebraically closed field
    4. Polynomials over a finitely generated field
    5. Polynomials over a number field
    6. Polynomials over a Kroneckerian field

  • Author

    A. Schinzel, Instytut Matematyczny PAN, Warsaw

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