S. Yasutomi

activity

20132026

p

-adic continued fraction algorithms

1 citations · 2 across the 10 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.NT2023

Simultaneous Convergent Continued Fraction Algorithm for Real and $p$ -adic Fields with Applications to Quadratic Fields

Shin-ichi Yasutomi

Let $p$ be a prime number and $K$ be a field with embeddings into $R$ and $Q_{p}$ . We propose an algorithm that generates continued fraction expansions converging i…

math.NT2023

Arithmetical independence of certain uniform sets of algebraic integers

Asaki Saito, Jun-ichi Tamura, Shin-ichi Yasutomi

We study four (families of) sets of algebraic integers of degree less than or equal to three. Apart from being simply defined, we show that they share two distinctive characteristi…

math.DS2023

Star-shaped trajectories of certain billiards around a triangle

Takeo Noda, Shin-ichi Yasutomi, Masamichi Yoshida

We explore the triangle outer billiards map in points at infinity in the hyperbolic plane, focusing on the rotation number. Building on Dogru and Tabachnikov's work, which establis…

Simultaneous Convergent Continued Fraction Algorithm for Real and p-adic Fields with Applications to Quadratic Fields

Arithmetical independence of certain uniform sets of algebraic integers

Star-shaped trajectories of certain billiards around a triangle

Simultaneous Convergent Continued Fraction Algorithm for Real and $p$ -adic Fields with Applications to Quadratic Fields