Kota Saito

activity

20232025

collaborators

3 papers

math.NT2025

Intervals without primes near an iterated linear recurrence sequence

Kota Saito

Let $M$ be a fixed positive integer. Let $(R_{j} (n))_{n \geq 1}$ be a linear recurrence sequence for every $j = 0, 1, \dots, M$ , and we set $f (n) = (R_{0} \circ \dots \circ R_{M}) (n)$ , where…

math.NT2024

Normality of algebraic numbers and the Riemann zeta function

Yuya Kanado, Kota Saito

A real number is called simply normal to base $b$ if every digit $0, 1, \dots, b - 1$ should appear in its $b$ -adic expansion with the same frequency $1/ b$ . A real number is called no…

math.NT2023

The simple normality of the fractional powers of two and the Riemann zeta function

Yuya Kanado, Kota Saito

A real number is called simply normal to base $b$ if its base- $b$ expansion has each digit appearing with average frequency tending to $1/ b$ . In this article, we discover a relatio…