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 -