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Prime-Detecting Sieves (LMS-33)
Glyn Harman
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Description for Prime-Detecting Sieves (LMS-33)
Hardback. Seeks to describe the development in recent decades of sieve methods able to detect prime numbers. This work covers topics such as; 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. Series: London Mathematical Society Monographs. Num Pages: 384 pages, 10 line illus. 9 tables. BIC Classification: PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 241 x 156 x 29. Weight in Grams: 666.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Princeton University Press United States
Number of pages
384
Condition
New
Series
London Mathematical Society Monographs
Number of Pages
384
Place of Publication
New Jersey, United States
ISBN
9780691124377
SKU
V9780691124377
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Glyn Harman
Glyn Harman is professor of pure mathematics at the University of London, Royal Holloway. He is the author of "Metric Number Theory", the coeditor of "Sieve Methods, Exponential Sums, and their Applications in Number Theory", and the corecipient of the Hardy-Ramanujan award for his work on primes in short intervals.
Reviews for Prime-Detecting Sieves (LMS-33)
"This book provides a very nice introduction to a very active and important area of research. Several chapters include discussion of the limitations of the given methods; this is an unusual feature but a very useful one to readers. There is also helpful discussion of historical developments of the given methods. This a valuable book, both for researchers and for ... Read more