Yuya Kanado

activity

20222024

most citedThe relation between a generalized Fibonacci sequence and the length of Cunningham chains

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 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.NT2022★ 1 cited

The relation between a generalized Fibonacci sequence and the length of Cunningham chains

Yuya Kanado

Let $p$ be a prime number. A chain ${p, 2 p + 1, 4 p + 3, \dots, (p + 1) 2^{l (p) - 1} - 1}$ is called the Cunningham chain generated by $p$ if all elements are prime number and $(p + 1) 2^{l (p)} - 1$ …

math.NT2022

A system of certain linear Diophantine equations on analogs of squares

Yuya Kanado, Kota Saito

This study investigates the existence of tuples $(k, ℓ, m)$ of integers such that all of $k$ , $ℓ$ , $m$ , $k + ℓ$ , $ℓ + m$ , $m + k$ , $k + ℓ + m$ belong to $S (α)$ , where $S (α)$ i…