Geodesic
On algebraic integers
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 18-19

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

If $\eta_1,\dots,\eta_n$ are roots of a polynomial of degree $n$ irreducible over the field of rationals with the highest coefficient 1, then the sum$(\eta_1)^k+\dots+(\eta_n)^k$ is an integer for each natural $k$.
Keywords: integer, irreducible.
Mots-clés : algebraic 
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     author = {A. I. Zabarina and G. G. Pestov},
     title = {On algebraic integers},
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A. I. Zabarina; G. G. Pestov. On algebraic integers. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 6 (2013), pp. 18-19. http://geodesic.mathdoc.fr/item/VTGU_2013_6_a1/