Lectures on Sieve Methods and Prime Number Theory
Author : Yoichi Motohashi
Publisher :
Page : 234 pages
File Size : 26,81 MB
Release : 1983
Category : Mathematics
ISBN :
Author : Yoichi Motohashi
Publisher :
Page : 234 pages
File Size : 26,81 MB
Release : 1983
Category : Mathematics
ISBN :
Author : Hans-Egon Richert
Publisher :
Page : 218 pages
File Size : 38,71 MB
Release : 1976
Category : Sieves (Mathematics).
ISBN :
Author : Heine Halberstam
Publisher : Courier Corporation
Page : 386 pages
File Size : 14,51 MB
Release : 2013-09-26
Category : Mathematics
ISBN : 0486320804
This text by a noted pair of experts is regarded as the definitive work on sieve methods. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications. 1974 edition.
Author : Yoichi Motohashi
Publisher :
Page : 234 pages
File Size : 10,67 MB
Release : 1983
Category : Mathematics
ISBN :
Author : G. R. H. Greaves
Publisher : Cambridge University Press
Page : 360 pages
File Size : 23,15 MB
Release : 1997-01-30
Category : Mathematics
ISBN : 0521589576
State-of-the-art analytic number theory proceedings.
Author :
Publisher :
Page : 205 pages
File Size : 43,79 MB
Release : 1983
Category :
ISBN :
Author : George Greaves
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 47,97 MB
Release : 2013-03-09
Category : Mathematics
ISBN : 366204658X
This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
Author : George Greaves
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 45,69 MB
Release : 2001-06-20
Category : Mathematics
ISBN : 9783540416470
This book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.
Author : Alina Carmen Cojocaru
Publisher : Cambridge University Press
Page : 250 pages
File Size : 40,88 MB
Release : 2005-12-08
Category : Mathematics
ISBN : 9780521848169
Rather than focus on the technical details which can obscure the beauty of sieve theory, the authors focus on examples and applications, developing the theory in parallel.
Author : Glyn Harman
Publisher : Princeton University Press
Page : 378 pages
File Size : 38,9 MB
Release : 2020-05-26
Category : Mathematics
ISBN : 0691202990
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.