Geodesic
Problem of Nesterenko and method of Bernik
Čebyševskij sbornik, Tome 17 (2016) no. 4, pp. 180-184

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article we prove that, if integer polynomial $P$ satisfies $|P(\omega)|_p$, then for $w>2n-2$ and sufficiently large $H$ the root $\gamma$ belongs to the field of $p$-adic numbers. Bibliography: 16 titles.
Keywords: integer polynomials, discriminants of polynomials. 
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     author = {N. V. Budarina and H. O'Donnell},
     title = {Problem of {Nesterenko} and method of {Bernik}},
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N. V. Budarina; H. O'Donnell. Problem of Nesterenko and method of Bernik. Čebyševskij sbornik, Tome 17 (2016) no. 4, pp. 180-184. http://geodesic.mathdoc.fr/item/CHEB_2016_17_4_a13/