Takashi Hirotsu

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math.NT2026

Algebraic Characterizations of Angle Multisections over Rings

Takashi Hirotsu

Let $n,$ $m \geq 2$ be integers, and let $R$ be a subring of $R$ with field of fractions $F .$ In this article, we generalize the rational angle bisection problem previously…

math.NT2025

Rational Angle Bisection Problem in Higher Dimensional Spaces and Incenters of Simplices over Fields

Takashi Hirotsu

In this article, we generalize the following problem, which is called the rational angle bisection problem, to the $n$ -dimensional space $k^{n}$ over a subfield $k$ of $R$ : i…