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Amazon.com: Prime-Detecting Sieves. (LMS-33) (London Mathematical Society Monographs): Books: Glyn Harman

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  • Roger Lee Bagula
    http://www.amazon.com/Prime-Detecting-Sieves-Mathematical-Society-Monographs/dp/069112437X/ref=sr_1_1?ie=UTF8&s=books&qid=1203257178&sr=8-1 Editorial Reviews
    Message 1 of 1 , Feb 17, 2008
      Editorial Reviews
      Book Description

      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 ideas common to each, in particular the
      use of Type I and Type II information.

      No other book has undertaken such a systematic treatment of
      prime-detecting sieves. Among the many topics Glyn Harman covers are
      primes in short intervals, the greatest prime factor of the sequence of
      shifted primes, Goldbach numbers in short intervals, the distribution of
      Gaussian primes, and the recent work of John Friedlander and Iwaniec on
      primes that are a sum of a square and a fourth power, and Heath-Brown's
      work on primes represented as a cube plus twice a cube. This book
      contains much that is accessible to beginning graduate students, yet
      also provides insights that will benefit established researchers.

      About the Author
      Glyn Harman is professor of pure mathematics at the University of
      London, Royal Holloway. He is the author of "Metric Number Theory", the
      coeditor of "Sieve Methods, Exponential Sums, and their Applications in
      Number Theory", and the corecipient of the Hardy-Ramanujan award for his
      work on primes in short intervals.
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