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

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Trudy Instituta Matematiki, 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. 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

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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.

Received: 13.10.2014

Document Type: Article

UDC: 511.42

Language: Russian

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}

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Full-text PDF :	110
References:	69

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