{"product_id":"prime-detecting-sieves-lms-33-9780691124377","title":"Prime-Detecting Sieves (Lms-33)","description":"\u003cp\u003eThis 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. \u003ci\u003ePrime-Detecting Sieves\u003c\/i\u003e 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. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eNo 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Glyn Harman\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/05\/2007\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 384\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.36lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.26h x 6.51w x 1.23d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780691124377\u003cbr\u003e\u003cp\u003e\u003cb\u003eAbout the Author\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eGlyn Harman\u003c\/b\u003e is professor of pure mathematics at the University of London, Royal Holloway. He is the author of \u003ci\u003eMetric Number Theory\u003c\/i\u003e, the coeditor of \u003ci\u003eSieve Methods, Exponential Sums, and their Applications in Number Theory\u003c\/i\u003e, and the corecipient of the Hardy-Ramanujan award for his work on primes in short intervals.\u003cbr\u003e\u003c\/p\u003e","brand":"Princeton University Press","offers":[{"title":"Hardcover","offer_id":40492822954099,"sku":"9.78069E+12","price":189.95,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/products\/img_28b70570-fde0-4b88-a75f-4e7b4d4c522e.jpg?v=1664975392","url":"https:\/\/bookstorenmore.com\/en-de\/products\/prime-detecting-sieves-lms-33-9780691124377","provider":"Bookstore N More","version":"1.0","type":"link"}