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arXiv · 2503.02317

Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions

Yuhi Kamio
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Abstract

Paul Erd\H{o}s posed a problem on the asymptotic estimation of decomposing 1 into a sum of infinitely many unit fractions in \cite{Erd80}. We point out that this problem can be solved in the same way as the finite case, as shown in \cite{Sou05}.

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Yuhi Kamio. 2025-03-04. Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions. https://arxiv.org/abs/2503.02317

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