Yuuya Yoshida

activity

20182026

most citedMaximum Dimension of Subspaces with No Product Basis

1 citations · 1 across the 3 of their papers we have counts for

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math.NT2024

Asymptotic and non-asymptotic results for a binary additive problem involving Piatetski-Shapiro numbers

Yuuya Yoshida

For all $α_{1}, α_{2} \in (1, 2)$ with $1/ α_{1} + 1/ α_{2} > 5/3$ , we show that the number of pairs $(n_{1}, n_{2})$ of positive integers with $N = ⌊ n_{1}^{α_{1}} ⌋ + ⌊ n_{2}^{α_{2}} ⌋$ is…

math.NT2023

Some remarks on the $[x / n]$ -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 $[x / n]$ and th…

math.NT2020

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 $d \in N$ , $α \in (d, d + 1)$ , and integers $k \geq d + 2$ and $r \geq 1$ , there exist infinitely many $n\in\math…

math.NT2018

Arithmetic Progressions in the Graphs of Slightly Curved Sequences