Polynomials with Special Regard to Reducibility

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Title: Polynomials with Special Regard to Reducibility
Description: 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.
Authors: A. Schinzel
Resource Type: eBook.
Subjects: Polynomials
Categories: MATHEMATICS / Algebra / Elementary
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 73442
RelevancyScore: 966
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 965.702392578125
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Items – Name: Title
  Label: Title
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  Data: Polynomials with Special Regard to Reducibility
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Elementary%22">MATHEMATICS / Algebra / Elementary</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.942
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Polynomials
        Type: general
    Titles:
      – TitleFull: Polynomials with Special Regard to Reducibility
        Type: main
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      – PersonEntity:
          Name:
            NameFull: A. Schinzel
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            NameFull: A. Schinzel
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2000
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521662253
            – Type: isbn-electronic
              Value: 9780511010651
          Numbering:
            – Type: volume
              Value: 00077
          Titles:
            – TitleFull: Polynomials with Special Regard to Reducibility
              Type: main
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