Geodesic
On some Diophantine equation with variables from lacunar sequence
Čebyševskij sbornik, Tome 15 (2014) no. 4, pp. 124-138.

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By M. P. Mineev's method of basic and auxiliary systems, we prove a theorem on a number of solutions of some inhomogeneous Diophantine equation with variables from a lacunar sequence of natural numbers. Using Bernoulli numbers, we obtain a polynomial-type expression for the number of basic systems. The estimates for the number of auxiliary systems are also given. Bibliography: 12 titles.
Keywords: Diophantine equation, gap sequence. 
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V. N. Chubarikov; N. M. Dobrovolskiy. On some Diophantine equation with variables from lacunar sequence. Čebyševskij sbornik, Tome 15 (2014) no. 4, pp. 124-138. http://geodesic.mathdoc.fr/item/CHEB_2014_15_4_a3/

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