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 Tr. Inst. Mat., 2014, Volume 22, Number 2, Pages 9–17 (Mi timb216)

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

N. V. Budarinaab, V. I. Bernikab, H. O'Donnellab

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.

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UDC: 511.42

Citation: 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., 22:2 (2014), 9–17

Citation in format AMSBIB
\Bibitem{BudBerOdo14} \by N.~V.~Budarina, V.~I.~Bernik, H.~O'Donnell \paper On the relation between a factorization of a polynomial resultant and the frequency of it’s occurence \jour Tr. Inst. Mat. \yr 2014 \vol 22 \issue 2 \pages 9--17 \mathnet{http://mi.mathnet.ru/timb216}