论文信息 - Primes in Intersections of Beatty Sequences

Primes in Intersections of Beatty Sequences

In this note we consider the question of whether there are infinitely many primes in the intersection of two or more Beatty sequences ⌊�jn+�j⌋,n ∈ N,j = 1,...,k. We begin with a straightforward sufficient condition for a set ofBeatty sequences to contain infinitely many primes in their intersection. We then consider two sequences when one �j is rational. However, the main result we establish concerns the intersection of two B(�,�) = \

Glyn Harman

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