Auxiliary Polynomials in Number Theory
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| Title: | Auxiliary Polynomials in Number Theory |
|---|---|
| Description: | This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a'molecular'fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as postgraduate students in number theory or related areas. It provides over 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry. |
| Authors: | David Masser |
| Resource Type: | eBook. |
| Subjects: | Number theory, Polynomials |
| Categories: | MATHEMATICS / Number Theory |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 1281435 RelevancyScore: 1070 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 1070.4580078125 |
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| Items | – Name: Title Label: Title Group: Ti Data: Auxiliary Polynomials in Number Theory – Name: Abstract Label: Description Group: Ab Data: This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a'molecular'fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as postgraduate students in number theory or related areas. It provides over 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22David+Masser%22">David Masser</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink> – Name: SubjectBISAC Label: Categories Group: Su 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: Number theory Type: general – SubjectFull: Polynomials Type: general Titles: – TitleFull: Auxiliary Polynomials in Number Theory Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: David Masser – PersonEntity: Name: NameFull: David Masser IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2016 – D: 14 M: 10 Type: profile Y: 2016 Identifiers: – Type: isbn-print Value: 9781107061576 – Type: isbn-electronic Value: 9781316678176 Numbering: – Type: volume Value: 00207 Titles: – TitleFull: Auxiliary Polynomials in Number Theory Type: main |
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