14 citations · 52 across the 14 of their papers we have counts for
5 papers · 1 filter
Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers
Yuuya Yoshida
For all with , we show that the number of pairs of positive integers with is…
Some remarks on the -sequence
Kota Saito, Yuta Suzuki, Wataru Takeda +1
After the work of Bordellès, Dai, Heyman, Pan and Shparlinki (2018) and Heyman (2019), several authors studied the averages of arithmetic functions over the sequence and th…
On the number of representations of integers as differences between Piatetski-Shapiro numbers
Yuuya Yoshida
For , set . We show that, for every , the number of pairs of positive integers with $d=\lfloor{n^α}\rfloor - \lfloor{m^α}\r…
Distributions of Finite Sequences Represented by Polynomials in Piatetski-Shapiro Sequences
Kota Saito, Yuuya Yoshida
By using the work of Frantzikinakis and Wierdl, we can see that for all , , and integers and , there exist infinitely many $n\in\math…
Arithmetic Progressions in the Graphs of Slightly Curved Sequences
Kota Saito, Yuuya Yoshida
A strictly increasing sequence of positive integers is called a slightly curved sequence with small error if the sequence can be well-approximated by a function whose second deriva…