TY - JOUR

T1 - On the number of Eisenstein polynomials of bounded height

AU - Heyman, Randell

AU - Shparlinski, Igor E.

PY - 2013/6

Y1 - 2013/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84878993373&partnerID=8YFLogxK

U2 - 10.1007/s00200-013-0187-y

DO - 10.1007/s00200-013-0187-y

M3 - Article

AN - SCOPUS:84878993373

SN - 0938-1279

VL - 24

SP - 149

EP - 156

JO - Applicable Algebra in Engineering, Communications and Computing

JF - Applicable Algebra in Engineering, Communications and Computing

IS - 2

ER -