2 problems

Let $P(x)\in\mathbb{Z}[x]$ be a monic irreducible polynomial, and let $m_{\mathbb{H}}(P)$ denote its quaternionic Mahler measure. Quaternionic Lehmer conjecture. There is a constan…

Let $D$ be a symmetric slice domain in the quaternions, and let $\mathcal{O}_s(D)$ denote the integral domain of slice-preserving regular functions on $D$, with quotient field…