Almost-primes in arithmetic progressions and short intervals-Reference-Cited by-同舟云学术

Almost-primes in arithmetic progressions and short intervals

Published:1978-05 Issue:3 Volume:83 Page:357-375
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Heath-Brown D. R.

Abstract

In this paper we shall investigate the occurrence of almost-primes in arithmetic progressions and in short intervals. These problems correspond to two well-known conjectures concerning prime numbers. The first conjecture is that, if (l, k) = 1, there exists a prime p satisfying

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. A divisor problem

2. On the difference between consecutive primes

3. On the normal density of primes in small intervals, and the difference between consecutive primes;Selberg;Arch. Math. Naturvid.,1943

4. Hilbert's Inequality

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