V. I. Bernik, D. V. Vasiliev, A. S. Kudin, “On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial”, Tr. Inst. Mat., 2014, Volume 22, Number 2,Pages <nobr>3

This article is cited in 3 papers

On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial

V. I. Bernik, D. V. Vasiliev, A. S. Kudin

Institute of Mathematics of the National Academy of Sciences of Belarus

Abstract: In the article are obtained upper estimations for the number of integral polynomials of arbitrarily degree and bounded height with small values of derivatives at the root of polynomials.

UDC: 511.42

Received: 03.10.2014