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METRICAL THEOREMS ON PRIME VALUES OF THE INTEGER PARTS OF REAL SEQUENCES II

Published online by Cambridge University Press:  30 October 2001

GLYN HARMAN
GLYN HARMAN
Affiliation:
Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 0EX; [email protected]
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Abstract

Let [ ] denote the integer part. Among other results in [3] we gave a complete solution to the following problem.

PROBLEM. Given an increasing sequence an ∈ ℝ+, n = 1, 2, …, where an → ∞ as n → ∞, are there infinitely many primes in the sequence [αan] for almost all α?

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 2 , October 2001 , pp. 287 - 298
Copyright
The London Mathematical Society 2001

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