V. Karagulyan

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20222026

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math.CA2022

Asymptotic estimates for double-coverings

Grigori A. Karagulyan, Vahe G. Karagulyan

A collection of finite sets ${A_{1}, A_{2}, \dots, A_{p}}$ is said to be a double-covering if each $a \in \cup_{k = 1}^{p} A_{k}$ is included in exactly two sets of the collection. For fix…

math.CA2022

On generalized lacunary series

Grigori A. Karagulyan, Vahe G. Karagulyan

Given lacunary sequence of integers, $n_{k}$ , $n_{k + 1} / n_{k} > λ > 1$ , we define a new sequence ${m_{k}}$ formed by all possible $l$ -wise sums $\pm n_{k_{1}} \pm n_{k_{2}} \pm \dots \pm n_{k_{l}}$ …