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Prime-detecting sieves /
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...
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Princeton :
Princeton University Press,
©2007.
|
| Collection: | London Mathematical Society monographs ;
new ser., no. 33. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- The Vaughan identity
- The alternative sieve
- The Rosser-Iwaniec sieve
- Developing the alternative sieve
- An upper-bound sieve
- Primes in short intervals
- The Brun-Titchmarsh theorem on average
- Primes in almost all intervals
- Combination with the vector sieve
- Generalizing to algebraic number fields
- Variations on Gaussian primes
- Primes of the form x [cubed] + 2y [cubed].