Geodesic
On an additive problem with squarefree numbers
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 41-47.

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An asymptotic formula for the number of representations of a positive integer $N$ in the form $q_1+q_2+[\alpha q_3]$ is obtained, where $q_1$, $q_2$, $q_3$ are squarefree numbers and $\alpha>1$ is a fixed irrational algebraic number. 
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D. V. Goryashin. On an additive problem with squarefree numbers. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 41-47. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a4/

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