Description: Prime-Detecting Sieves, Paperback by Harman, Glyn, ISBN 0691202990, ISBN-13 9780691202990, Like New Used, Free shipping in the US
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 Legendres 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-Browns 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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Book Title: Prime-Detecting Sieves
Number of Pages: 384 Pages
Publication Name: Prime-Detecting Sieves (Lms-33)
Language: English
Publisher: Princeton University Press
Publication Year: 2020
Item Height: 0.9 in
Subject: Number Theory
Type: Textbook
Item Weight: 20.3 Oz
Item Length: 9.1 in
Author: Glyn Harman
Subject Area: Mathematics
Item Width: 6.1 in
Series: London Mathematical Society Monographs
Format: Trade Paperback
