Takao Komatsu

collaborators

4 papers

math.NT2026

$p$ -numerical semigroup of the sequence of consecutive odd integers

Takao Komatsu, Sungjin Hyun, Kyunghwan Song

We prove the $p$ -Frobenius problems proposed as Conjectures 7.1 and 7.5 developed by T. Komatsu and R. Pandey (Bull. Korean Math. Soc. 2025;62:1397--1409.) for two families of cons…

math.GM2026

Continued fractions, determinant expressions, and identities

Nikita Kalinin, Takao Komatsu

In this paper, we clarified the relationship between continued fractions, determinants, and identities, making it easier to apply these methods systematically in other settings. In…

math.GM2026

Error terms for continued fractions of $e^{1/ s}$ and $\frac{v}{u} tanh (\frac{1}{uv})$

Nikita Kalinin, Takao Komatsu

Many classical identities arise from nothing more mysterious than looking at the same object in two different ways. A number, a function, or a combinatorial object may admit severa…

math.NT2023

On a conjecture of Ram\'ırez Alfons\'ın and Skałba III

Yuchen Ding, Takao Komatsu

Let $1 < c < d$ be two relatively prime integers. For a non-negative integer $ℓ$ , let $g_{ℓ} (c, d)$ be the largest integer $n$ such that $n = c x + d y$ has at most $ℓ$ non-negative…

p-numerical semigroup of the sequence of consecutive odd integers

Continued fractions, determinant expressions, and identities

Error terms for continued fractions of e1/s and uv​​tanh(uv​1​)

On a conjecture of Ram\'ırez Alfons\'ın and Skałba III

$p$ -numerical semigroup of the sequence of consecutive odd integers

Error terms for continued fractions of $e^{1/ s}$ and $\frac{v}{u} tanh (\frac{1}{uv})$