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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton University Press 2012.
Temas:
Sieves (Mathematics)
Numbers, Prime.
Number theory.
Cribles (Mathématiques)
Nombres premiers.
Théorie des nombres.
Number theory
Numbers, Prime
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • Notation
  • Chapter 1. Introduction
  • Chapter 2. The Vaughan Identity
  • Chapter 3. The Alternative Sieve
  • Chapter 4. The Rosser-Iwaniec Sieve
  • Chapter 5. Developing the Alternative Sieve
  • Chapter 6. An Upper-Bound Sieve
  • Chapter 7. Primes in Short Intervals
  • Chapter 8. The Brun-Titchmarsh Theorem on Average
  • Chapter 9. Primes in Almost All Intervals
  • Chapter 10. Combination with the Vector Sieve
  • Chapter 11. Generalizing to Algebraic Number Fields
  • Chapter 12. Variations on Gaussian Primes
  • Chapter 13. Primes of the Form x3 + 2y3
  • Chapter 14. Epilogue
  • Appendix
  • Bibliography
  • Index

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