Prime Detecting Sieves LMS 33 is popular PDF and ePub book, written by Glyn Harman in 2020-05-26, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Prime Detecting Sieves LMS 33 can be Read Online from any device for your convenience.
Prime Detecting Sieves LMS 33 Book PDF Summary
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.
Detail Book of Prime Detecting Sieves LMS 33 PDF
- Author : Glyn Harman
- Release : 26 May 2020
- Publisher : Princeton University Press
- ISBN : 9780691202990
- Genre : Mathematics
- Total Page : 378 pages
- Language : English
- PDF File Size : 15,5 Mb
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