Nonreciprocal algebraic numbers of small Mahler's measure

Abstract

We prove that there exist at least $cd^5$ monic irreducible nonreciprocal polynomials with integer coefficients of degree at most $d$ whose Mahler measures are smaller than $2$, where $c$ is some absolute positive constant. These polynomials are construct

Locations

• Acta Arithmetica - View - PDF