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Trudy Instituta Matematiki, 2014, Volume 22, Number 2, Pages 96–108 (Mi timb224)  
On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed

N. V. Budarinaab, M. V. Lamchanovskayaab

a Khabarovsk Division of Institute for Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences
b Institute of Mathematics, The National Belarus Academy of Sciences
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Abstract: On the relation between a factorization of a polynomial resultant and the frequency of its occurrence. 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 number.
Received: 01.12.2014
Document Type: Article
UDC: 511.42
Language: English
Citation: N. V. Budarina, M. V. Lamchanovskaya, “On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed”, Tr. Inst. Mat., 22:2 (2014), 96–108
Citation in format AMSBIB
\Bibitem{BudLam14}
\by N.~V.~Budarina, M.~V.~Lamchanovskaya
\paper On the size of $p$-adic cylinder for which the regular system of algebraic numbers can be constructed
\jour Tr. Inst. Mat.
\yr 2014
\vol 22
\issue 2
\pages 96--108
\mathnet{http://mi.mathnet.ru/timb224}
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