
This article is cited in 1 scientific paper (total in 1 paper)
On the frequency of integer polynomials with a given number of close roots
D. U. Kaliada^{} ^{} Institute of Mathematics of the National Academy of Sciences of Belarus
Abstract:
In the paper is considered the relation between number of integer polynomials of some degree having a given number of close real roots on the upper bound for diameter of this root cluster. There was established the asymptotics of that relation as the root cluster diameter tends to zero and maximal height of polynomials tends to infinity. The lower bound for the number of integer polynomial of given degree with bounded height and bounded discriminant is obtained.
Full text:
PDF file (192 kB)
References:
PDF file
HTML file
UDC:
511.35, 511.48, 511.75 Received: 22.10.2012
Citation:
D. U. Kaliada, “On the frequency of integer polynomials with a given number of close roots”, Tr. Inst. Mat., 20:2 (2012), 51–63
Citation in format AMSBIB
\Bibitem{Kol12}
\by D.~U.~Kaliada
\paper On the frequency of integer polynomials with a given number of close roots
\jour Tr. Inst. Mat.
\yr 2012
\vol 20
\issue 2
\pages 5163
\mathnet{http://mi.mathnet.ru/timb173}
Linking options:
http://mi.mathnet.ru/eng/timb173 http://mi.mathnet.ru/eng/timb/v20/i2/p51
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:

J. Math. Sci. (N. Y.), 229:6 (2018), 664–670

Number of views: 
This page:  137  Full text:  72  References:  20 
