Makoto Suwama

collaborators

2 papers

math.RA2021

On Trace Zero Matrices and Commutators

Makoto Suwama

Given any commutative ring $R$ , a commutator of two $n \times n$ matrices over $R$ has trace $0$ . In this paper, we study the converse: whether every $n \times n$ trace $0$ matrix i…

math.NT2021

Integer Dynamics

Dino Lorenzini, Mentzelos Melistas, Arvind Suresh +2

Let $b \geq 2$ be an integer, and write the base $b$ expansion of any non-negative integer $n$ as $n = x_{0} + x_{1} b + \dots + x_{d} b^{d}$ , with $x_{d} > 0$ and $0 \leq x_{i} < b$ for $i=0,\dots,…