Piatetski-Shapiro Primes in a Beatty Sequence

الأصل · EN

Let α,β be real numbers such that α>1 is irrational and of finite type, and let c be a real number in the range 1<c<14/13. In this paper, it is shown that there are infinitely many Piatetski-Shapiro primes p = nᶜ in the non-homogenous Beatty sequence (αm+β)ₘ₌₁∞.