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Prime-Detecting Sieves. (LMS-33).
This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came...
| Clasificación: | Libro Electrónico |
|---|---|
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton University Press
2012.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 245 | 0 | 0 | |a Prime-Detecting Sieves. (LMS-33). |
| 260 | |b Princeton University Press |c 2012. | ||
| 300 | |a 1 online resource (379 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 520 | |a This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions from others, notably Roger Heath-Brown and Henryk Iwaniec. Prime-Detecting Sieves breaks new ground by bringing together several different types of problems that have been tackled with modern sieve methods and by discussing the id. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t Notation -- |t Chapter 1. Introduction -- |t Chapter 2. The Vaughan Identity -- |t Chapter 3. The Alternative Sieve -- |t Chapter 4. The Rosser-Iwaniec Sieve -- |t Chapter 5. Developing the Alternative Sieve -- |t Chapter 6. An Upper-Bound Sieve -- |t Chapter 7. Primes in Short Intervals -- |t Chapter 8. The Brun-Titchmarsh Theorem on Average -- |t Chapter 9. Primes in Almost All Intervals -- |t Chapter 10. Combination with the Vector Sieve -- |t Chapter 11. Generalizing to Algebraic Number Fields -- |t Chapter 12. Variations on Gaussian Primes -- |t Chapter 13. Primes of the Form x3 + 2y3 -- |t Chapter 14. Epilogue -- |t Appendix -- |t Bibliography -- |t Index |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Sieves (Mathematics) | |
| 650 | 0 | |a Numbers, Prime. | |
| 650 | 0 | |a Number theory. | |
| 650 | 6 | |a Cribles (Mathématiques) | |
| 650 | 6 | |a Nombres premiers. | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 7 | |a Number theory |2 fast | |
| 650 | 7 | |a Numbers, Prime |2 fast | |
| 650 | 7 | |a Sieves (Mathematics) |2 fast | |
| 720 | |a Harman, Glyn. | ||
| 758 | |i has work: |a Prime-detecting sieves (LMS-33) (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH4gGBMj3TDKcpWHHvT8Yd |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1062358 |z Texto completo |
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| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 416079 | ||
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