Geodesic
On representation of natural numbers by sums of algebraic numbers
Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 3-11

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We give a bound on the number of approximate representations of natural numbers by sums of algebraic numbers. 
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V. I. Bernik; V. A. Shlyk. On representation of natural numbers by sums of algebraic numbers. Trudy Instituta matematiki, Tome 19 (2011) no. 1, pp. 3-11. http://geodesic.mathdoc.fr/item/TIMB_2011_19_1_a0/