On the distribution of $$\alpha p$$ α p modulo one over Piatetski-Shapiro primes

Stoyan Dimitrov ()
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Stoyan Dimitrov: Technical University of Sofia

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 858-867

Abstract: Abstract Let $$[\, \cdot \,]$$ [ · ] be the floor function and $$\Vert x\Vert $$ ‖ x ‖ denotes the distance from x to the nearest integer. In this paper we show that whenever $$\alpha $$ α is irrational and $$\beta $$ β is real then for any fixed $$1

Keywords: Distribution modulo one; Piatetski-Shapiro primes (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00307-9

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