Prime-Detecting Sieves (LMS-33)

Prime-Detecting Sieves (LMS-33)
Author :
Publisher : Princeton University Press
Total Pages : 378
Release :
ISBN-10 : 9780691202990
ISBN-13 : 0691202990
Rating : 4/5 (90 Downloads)

Book Synopsis Prime-Detecting Sieves (LMS-33) by : Glyn Harman

Download or read book Prime-Detecting Sieves (LMS-33) written by Glyn Harman and published by Princeton University Press. This book was released on 2020-05-26 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Prime-Detecting Sieves (LMS-33) Related Books

Prime-Detecting Sieves (LMS-33)
Language: en
Pages: 378
Authors: Glyn Harman
Categories: Mathematics
Type: BOOK - Published: 2020-05-26 - Publisher: Princeton University Press

DOWNLOAD EBOOK

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 antiqu
Prime-detecting Sieves
Language: en
Pages: 378
Authors: Glyn Harman
Categories: History
Type: BOOK - Published: 2007-08-05 - Publisher: Princeton University Press

DOWNLOAD EBOOK

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 antiqu
Log-Gases and Random Matrices (LMS-34)
Language: en
Pages: 808
Authors: Peter J. Forrester
Categories: Mathematics
Type: BOOK - Published: 2010-07-01 - Publisher: Princeton University Press

DOWNLOAD EBOOK

Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensi
Supersingular P-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas
Language: en
Pages: 280
Authors: Daniel Kriz
Categories: Mathematics
Type: BOOK - Published: 2021-11-09 - Publisher: Princeton University Press

DOWNLOAD EBOOK

A groundbreaking contribution to number theory that unifies classical and modern results This book develops a new theory of p-adic modular forms on modular curv
Lectures on P-adic L-functions
Language: en
Pages: 120
Authors: Kenkichi Iwasawa
Categories: Mathematics
Type: BOOK - Published: 1972-07-21 - Publisher: Princeton University Press

DOWNLOAD EBOOK

An especially timely work, the book is an introduction to the theory of p-adic L-functions originated by Kubota and Leopoldt in 1964 as p-adic analogues of the