We obtain a more precise version of an asymptotic formula of A. Dubickas for the number of monic Eisenstein polynomials of fixed degree d and of height at most H, as H → ∞. In particular, we give an explicit bound for the error term. We also obtain an asymptotic formula for arbitrary Eisenstein polynomials of height at most H.
|Number of pages||8|
|Journal||Applicable Algebra in Engineering, Communications and Computing|
|Publication status||Published - Jun 2013|