Geodesic
Divisibility of discriminants of integral polynomials by given sequence of prime numbers
Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 104-112 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[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

[3] Bernik V.I., “O tochnom poryadke priblizheniya nulya znacheniyami tselochislennykh mnogochlenov”, Acta Arith., 53 (1989), 17–28 | MR | Zbl

[4] Bernik V., Dodson M., Metric Diophantine approximation on manifolds, Cambridge Tracts in Mathematics, 137, Cambridge University Press, Cambridge, 1999 | MR | Zbl

[5] Bernik V., Dickinson H., Yuan J., “Inhomogeneous Diophantine approximation on polynomials in $\mathbb{Q}_p$”, Acta Arith., 90:1 (1999), 37–48 | MR | Zbl