Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On asymptotic behavior for the Hawkins random sieve


Author: C. C. Heyde
Journal: Proc. Amer. Math. Soc. 56 (1976), 277-280
MSC: Primary 10H30
MathSciNet review: 0404177
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with the Hawkins random sieve which is a probabilistic analogue of the sieve of Eratosthenes. Analogues of the prime number theorem and Mertens' theorem have previously been obtained for this sieve by classical probabilistic methods. In the present paper, sharper results akin to the Riemann hypothesis are obtained by a more elegant martingale approach.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 10H30

Retrieve articles in all journals with MSC: 10H30


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0404177-X
Keywords: Random sieve, prime numbers, Riemann hypothesis, martingales, strong laws
Article copyright: © Copyright 1976 American Mathematical Society