The Pjateckiǐ-Šapiro prime number theorem

It is proved that the sequence [nc] contains the expected number of primes whenever 1 < c < 1.1404..., thus improving Kolesnik's range 1 < c < 1.1111.... An identity of Vaughan's type in five variables is needed. © 1983.

Bibliographic Details
Main Author: Heath-Brown, D
Format: Journal article
Language:English
Published: 1983