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- W4297271038 abstract "Let $$[, cdot ,]$$ be the floor function and $$Vert xVert $$ denotes the distance from x to the nearest integer. In this paper we show that whenever $$alpha $$ is irrational and $$beta $$ is real then for any fixed $$1<c<12/11$$ there exist infinitely many prime numbers p satisfying the inequality $$begin{aligned} Vert alpha p+beta Vert ll p^{frac{11c-12}{26c}}log ^6p end{aligned}$$ and such that $$p=[n^c]$$ ." @default.
- W4297271038 created "2022-09-28" @default.
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- W4297271038 date "2022-08-12" @default.
- W4297271038 modified "2023-10-01" @default.
- W4297271038 title "On the distribution of $$alpha p$$ modulo one over Piatetski-Shapiro primes" @default.
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- W4297271038 doi "https://doi.org/10.1007/s13226-022-00307-9" @default.
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