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arXiv · 2312.01076

Rational approximation with digit-restricted denominators

Siddharth Iyer
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Abstract

We show the existence of ``good'' approximations to a real number $\gamma$ using rationals with denominators formed by digits $0$ and $1$ in base $b$. We derive an elementary estimate and enhance this result by managing exponential sums.

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Siddharth Iyer. 2023-12-02. Rational approximation with digit-restricted denominators. https://doi.org/10.1093/qmath%2Fhaaf007

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