N. V. Budarina, V. I. Bernik, H. O'Donnell, “On the relation between a factorization of a polynomial resultant and the frequency of it’s occurence”, Tr. Inst. Mat., 2014, Volume 22, Number 2,Pages <nobr>9

On the relation between a factorization of a polynomial resultant and the frequency of it’s occurence

N. V. Budarina^ab, V. I. Bernik^ab, H. O'Donnell^ab

^a Institute of Mathematics of the National Academy of Sciences of Belarus
^b Dublin Institute of Technology

Abstract: A lower bound is obtained for the number of polynomial pairs of a given degree and bounded heights such that their resultants are divisible by a fixed prime power.

UDC: 511.42

Received: 13.10.2014