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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
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?
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- The London Mathematical Society 2001
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