eBook
Numerical Algorithms for Number Theory
| Title: | Numerical Algorithms for Number Theory |
|---|---|
| Description: | This book presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex $L$-functions. For each task, many algorithms are presented, such as Gaussian and doubly-exponential integration, Euler-MacLaurin, Abel-Plana, Lagrange, and Monien summation. Each algorithm is given in detail, together with a complete implementation in the free Pari/GP system. These implementations serve both to make even more precise the inner workings of the algorithms, and to gently introduce advanced features of the Pari/GP language. This book will be appreciated by anyone interested in number theory, specifically in practical implementations, computer experiments and numerical algorithms that can be scaled to produce thousands of digits of accuracy. |
| Authors: | Karim Belabas, Henri Cohen |
| Resource Type: | eBook. |
| Subjects: | Computer algorithms, Number theory, Numerical analysis--Computer programs |
| Categories: | MATHEMATICS / Number Theory |
| Database: | eBook Index |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: edsebk DbLabel: eBook Index An: 2960783 RelevancyScore: 956 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 955.975708007813 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Numerical Algorithms for Number Theory – Name: Abstract Label: Description Group: Ab Data: This book presents multiprecision algorithms used in number theory and elsewhere, such as extrapolation, numerical integration, numerical summation (including multiple zeta values and the Riemann-Siegel formula), evaluation and speed of convergence of continued fractions, Euler products and Euler sums, inverse Mellin transforms, and complex $L$-functions. For each task, many algorithms are presented, such as Gaussian and doubly-exponential integration, Euler-MacLaurin, Abel-Plana, Lagrange, and Monien summation. Each algorithm is given in detail, together with a complete implementation in the free Pari/GP system. These implementations serve both to make even more precise the inner workings of the algorithms, and to gently introduce advanced features of the Pari/GP language. This book will be appreciated by anyone interested in number theory, specifically in practical implementations, computer experiments and numerical algorithms that can be scaled to produce thousands of digits of accuracy. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Karim+Belabas%22">Karim Belabas</searchLink><br /><searchLink fieldCode="AR" term="%22Henri+Cohen%22">Henri Cohen</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Computer+algorithms%22">Computer algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis--Computer+programs%22">Numerical analysis--Computer programs</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Number+Theory%22">MATHEMATICS / Number Theory</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=2960783 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 518.47 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Computer algorithms Type: general – SubjectFull: Number theory Type: general – SubjectFull: Numerical analysis--Computer programs Type: general Titles: – TitleFull: Numerical Algorithms for Number Theory Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Karim Belabas – PersonEntity: Name: NameFull: Henri Cohen – PersonEntity: Name: NameFull: Karim Belabas – PersonEntity: Name: NameFull: Henri Cohen IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2021 – D: 23 M: 07 Type: profile Y: 2021 Identifiers: – Type: isbn-print Value: 9781470463519 – Type: isbn-electronic Value: 9781470465568 Numbering: – Type: volume Value: 00254 Titles: – TitleFull: Numerical Algorithms for Number Theory Type: main |
| ResultId | 1 |