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Prime-detecting sievesGlyn Harman.

By: Material type: TextTextSeries: Publication details: Princeton : Princeton University Press, (c)2007.Description: 1 online resource (xiv, 362 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781400845934
Subject(s): Genre/Form: LOC classification:
  • QA246 .P756 2007
Online resources: Available additional physical forms:
Contents:
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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Includes bibliographies and index.

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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