Title
PrimeDetecting Sieves (LMS33) (London Mathematical Society Monographs),Used
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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 HeathBrown and Henryk Iwaniec. PrimeDetecting 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 primedetecting 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 HeathBrown'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.
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- Q: What is the main focus of the book 'Prime-Detecting Sieves'? A: The book focuses on the development of sieve methods for detecting prime numbers, discussing historical advancements and modern applications in this area of mathematics.
- Q: Who is the author of 'Prime-Detecting Sieves'? A: The author of 'Prime-Detecting Sieves' is Glyn Harman.
- Q: What topics are covered in 'Prime-Detecting Sieves'? A: The book covers various topics including primes in short intervals, greatest prime factors, Goldbach numbers, Gaussian primes, and recent work on primes expressed as a sum of a square and a fourth power.
- Q: Is 'Prime-Detecting Sieves' suitable for beginners? A: Yes, the book contains accessible material for beginning graduate students while also providing insights beneficial for established researchers.
- Q: What is the binding type of 'Prime-Detecting Sieves'? A: The binding type of 'Prime-Detecting Sieves' is hardcover.
- Q: How many pages does 'Prime-Detecting Sieves' have? A: The book has a total of 384 pages.
- Q: When was 'Prime-Detecting Sieves' published? A: The book was published on August 5, 2007.
- Q: What condition is the used copy of 'Prime-Detecting Sieves' in? A: The used copy is in good condition.
- Q: What makes 'Prime-Detecting Sieves' unique compared to other books? A: It provides a systematic treatment of prime-detecting sieves, integrating various problems tackled with modern sieve methods and discussing common ideas in depth.
- Q: Can 'Prime-Detecting Sieves' help with understanding advanced sieve methods? A: Yes, the book discusses advanced sieve methods and research findings, making it valuable for those wanting to deepen their understanding of the topic.