Geodesic
Additive problem with $k$ numbers of a special form
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 10-21

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In this paper, we consider an additive problem of the form $n_1+n_2+\ldots+n_k=N$ with at least two summands, where the summands satisfy the condition $n_i\in\mathbb{N}(\alpha_i, I_i)$ for $1 \le i \le k$, where $\mathbb{N}(\alpha I)=\{n\in\mathbb{N}:\{n\alpha\}\in I\}$.
Keywords: additive problem, uniform distribution. 
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     author = {A. A. Zhukova and A. V. Shutov},
     title = {Additive problem with $k$ numbers of a special form},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {10--21},
     publisher = {mathdoc},
     volume = {166},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_166_a1/}
}
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A. A. Zhukova; A. V. Shutov. Additive problem with $k$ numbers of a special form. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part II, Tome 166 (2019), pp. 10-21. http://geodesic.mathdoc.fr/item/INTO_2019_166_a1/