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Discriminant Equations in Diophantine Number Theory

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Title: Discriminant Equations in Diophantine Number Theory
Description: Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors'previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.
Authors: Jan-Hendrik Evertse, Kálmán Győry
Resource Type: eBook.
Subjects: Arithmetical algebraic geometry, Diophantine equations, Algebraic number theory
Categories: MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1362671
RelevancyScore: 1070
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1070.4580078125
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Discriminant Equations in Diophantine Number Theory
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors'previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.
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  Label: Authors
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  Data: <searchLink fieldCode="AR" term="%22Jan-Hendrik+Evertse%22">Jan-Hendrik Evertse</searchLink><br /><searchLink fieldCode="AR" term="%22Kálmán+Győry%22">Kálmán Győry</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Arithmetical+algebraic+geometry%22">Arithmetical algebraic geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Diophantine+equations%22">Diophantine equations</searchLink><br /><searchLink fieldCode="DE" term="%22Algebraic+number+theory%22">Algebraic number theory</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Number+Theory%22">MATHEMATICS / Number Theory</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.74
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Arithmetical algebraic geometry
        Type: general
      – SubjectFull: Diophantine equations
        Type: general
      – SubjectFull: Algebraic number theory
        Type: general
    Titles:
      – TitleFull: Discriminant Equations in Diophantine Number Theory
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Jan-Hendrik Evertse
      – PersonEntity:
          Name:
            NameFull: Kálmán Győry
      – PersonEntity:
          Name:
            NameFull: Jan-Hendrik Evertse
      – PersonEntity:
          Name:
            NameFull: Kálmán Győry
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 27
              M: 10
              Type: profile
              Y: 2016
          Identifiers:
            – Type: isbn-print
              Value: 9781107097612
            – Type: isbn-electronic
              Value: 9781316729618
          Titles:
            – TitleFull: Discriminant Equations in Diophantine Number Theory
              Type: main
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