Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 104-112
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I. M. Morozova. Divisibility of discriminants of integral polynomials by given sequence of prime numbers. Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 104-112. http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a10/
@article{TIMB_2011_19_1_a10,
author = {I. M. Morozova},
title = {Divisibility of discriminants of integral polynomials by given sequence of prime numbers},
journal = {Trudy Instituta matematiki},
pages = {104--112},
year = {2011},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a10/}
}
TY - JOUR
AU - I. M. Morozova
TI - Divisibility of discriminants of integral polynomials by given sequence of prime numbers
JO - Trudy Instituta matematiki
PY - 2011
SP - 104
EP - 112
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a10/
LA - ru
ID - TIMB_2011_19_1_a10
ER -
%0 Journal Article
%A I. M. Morozova
%T Divisibility of discriminants of integral polynomials by given sequence of prime numbers
%J Trudy Instituta matematiki
%D 2011
%P 104-112
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a10/
%G ru
%F TIMB_2011_19_1_a10
The paper is devoted to the lower estimate of the number of polynomials of bounded degree and height, that their discriminants are dividable by the powers of given sequence of primes.
[1] Bernik V., Goetze F., Kukso O., “On the disibility of the discriminant of an integral polynomial by prime powers”, Lith. Math. J., 48:4 (2008), 380–396 | DOI | MR | Zbl
[2] Sprindzhuk V.G., Problema Malera v metricheskoi teorii chisel, Minsk, 1967