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arXiv:2501.06622 [math.NT]AbstractReferencesReviewsResources

On the representation of integer as sum of a square-free number and a prime of special type

T. L. Todorova

Published 2025-01-11Version 1

We prove that there are infinitely many integers, which can represent as sum of a square-free integer and a prime $p$ with $||\alpha p+\beta||<p^{-1/10}$, where $\alpha$ is irrational.

Categories: math.NT
Subjects: 11P32, 11J71, 11P32
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