Kota Saito

activity

20232025

most citedMills' constant is irrational

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2025

Transcendency of variants of Mills' constant

Kota Saito

Let $⌊ x ⌋$ denote the integer part of $x$ . For every sequence $(C_{k})_{k \geq 1}$ of positive integers, we define $ξ (C_{k})$ as the smallest real number $ξ > 1$ such that $\lf…

math.NT2024★ 1 cited

Mills' constant is irrational

Kota Saito

Let $⌊ x ⌋$ denote the integer part of $x$ . In 1947, Mills constructed a real number $ξ > 1$ such that $⌊ ξ^{3^{k}} ⌋$ is always a prime number for every…

math.NT2023★ 1 cited

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…

Transcendency of variants of Mills' constant

Mills' constant is irrational

Some remarks on the [x/n]-sequence

Some remarks on the $[x / n]$ -sequence