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

Year: 2025
Type: preprint
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}.
Author: Kamio, Yuhi
Language: English
Open Access status: green
OpenAlex ID: W4415334726
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