Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 3-8
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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. Trudy Instituta matematiki, Tome 22 (2014) no. 2, pp. 3-8. http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a0/
@article{TIMB_2014_22_2_a0,
author = {V. I. Bernik and D. V. Vasiliev and A. S. Kudin},
title = {On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial},
journal = {Trudy Instituta matematiki},
pages = {3--8},
year = {2014},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a0/}
}
TY - JOUR
AU - V. I. Bernik
AU - D. V. Vasiliev
AU - A. S. Kudin
TI - On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial
JO - Trudy Instituta matematiki
PY - 2014
SP - 3
EP - 8
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a0/
LA - ru
ID - TIMB_2014_22_2_a0
ER -
%0 Journal Article
%A V. I. Bernik
%A D. V. Vasiliev
%A A. S. Kudin
%T On the number of integral polynomials of given degree and bounded height with small value of derivative at root of polynomial
%J Trudy Instituta matematiki
%D 2014
%P 3-8
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/TIMB_2014_22_2_a0/
%G ru
%F TIMB_2014_22_2_a0
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.