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Nonreciprocal algebraic numbers of small Mahler's measure

Nonreciprocal algebraic numbers of small Mahler's measure

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