Prime-Detecting Sieves. 2024 pdf epub mobi 電子書 下載


Prime-Detecting Sieves.

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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 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. 2024 pdf epub mobi 電子書 下載

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發表於2024-11-26

Prime-Detecting Sieves. 2024 pdf epub mobi 電子書 下載

Prime-Detecting Sieves. 2024 pdf epub mobi 電子書 下載

Prime-Detecting Sieves. 2024 pdf epub mobi 電子書 下載



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出版者:Princeton University Press
作者:Glyn Harman
出品人:
頁數:378
譯者:
出版時間:2007-7-16
價格:USD 78.50
裝幀:Hardcover
isbn號碼:9780691124377
叢書系列:

圖書標籤: Spy  Math   


Prime-Detecting Sieves. 2024 pdf epub mobi 電子書 下載
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