On the distribution of αp modulo one over Piatetski-Shapiro primes

2020/05/11 by Dimitrov, S. I.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2005.05008

Abstract

Let [ ⋅ ] be the floor function and ‖x‖ denotes the distance from x to the nearest integer. In this paper we show that whenever α is irrational and β is real then for any fixed 1

Related

• On the distribution of αp² modulo one in the intersection of two Piatetski--Shapiro sets
• On the distribution of αp² modulo one over primes of the form [n^c]
• Diophantine approximation by Piatetski-Shapiro primes
• Diophantine Approximation with Piatetski-Shapiro Primes
• On the distribution of αp modulo one for primes p of a special form