Prime-Detecting Sieves. pdf epub mobi txt 电子书 下载 2024


Prime-Detecting Sieves.

简体网页||繁体网页
Glyn Harman
Princeton University Press
2007-7-16
378
USD 78.50
Hardcover
9780691124377

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发表于2024-12-25

Prime-Detecting Sieves. epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Prime-Detecting Sieves. epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

Prime-Detecting Sieves. pdf epub mobi txt 电子书 下载 2024



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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.

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