Binary Additive Problems Involving Naturals with Binary Decompositions of a Special Kind

Mathematics – Number Theory

Scientific paper

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6 pages

Scientific paper

Let $h$ and $l$ be integers such that $0\le h\le 2$, $0\le l\le 4$. We obtain
asymptotic formulas for the numbers of solutions of the equations $n-3m=h$,
$n-5m=l$ in positive integers $m$ and $n$ of a special kind, $m\le X$.

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