Kota Saito

activity

20212024

most citedTopological properties and algebraic independence of sets of prime-representing constants

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

collaborators

3 papers

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…

math.NT2021★ 1 cited

Topological properties and algebraic independence of sets of prime-representing constants

Kota Saito, Wataru Takeda

Let $(c_{k})_{k \in N}$ be a sequence of positive integers. We investigate the set of $A > 1$ such that the integer part of $A^{c_{1} \dots c_{k}}$ is always a prime number for eve…