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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Bibliographic Details
Main Author: Harman, G. (Glyn), 1956-
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2007.
Series:Book collections on Project MUSE.
Subjects:
Zahlkörper
Sieb
Primzahl
Sieves (Mathematics)
Numbers, Prime.
Number theory.
MATHEMATICS > Number Theory.
Theorie des nombres.
Nombres premiers.
Cribles (Mathematiques)
Electronic books.
Online Access:Texto completo
Table of Contents:
  • The Vaughan identity
  • The alternative sieve
  • The Rosser-Iwaniec sieve
  • Developing the alternative sieve
  • An upper-bound sieve
  • Primes in short intervals
  • The Brun-Titchmarsh theorem on average
  • Primes in almost all intervals
  • Combination with the vector sieve
  • Generalizing to algebraic number fields
  • Variations on Gaussian primes
  • Primes of the form x [cubed] + 2y [cubed].

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