We give a Schinzel-Zassenhaus-type lower bound for the maximum modulus of roots monic integer polynomial with all symmetric respect to unit circle. Our results extend recent work Dimitrov, who proved general Schinzel-Zassenhaus conjecture by using Pólya rationality theorem power series coefficients, and some estimates logarithmic capacity (transfinite diameter) sets. use an enhancement Pólya's ...

We show that the set of algebraic extensions $F$ $\mathbb{Q}$ in which $\mathbb{Z}$ or ring integers $\mathcal{O}_F$ are definable is meager all extensions.

Let α be a prime Hurwitz integer. Hα, which is the set of residual class with respect to related modulo function in rings integers, subset H, all integers. We consider left congruent and, domain related
 this study ZN(α), ring ordinary integers N(α) elements, norm integer α. In study, we present an algebraic construction technique, formed depending on
 two operations, for codes over T...