Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866929740469764096 |
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| author | Kamio, Yuhi |
| author_facet | Kamio, Yuhi |
| contents | Paul Erdős 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}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02317 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions Kamio, Yuhi Number Theory Combinatorics 11D68, 11A67 Paul Erdős 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}. |
| title | Asymptotic Analysis of Infinite Decompositions of a Unit Fraction into Unit Fractions |
| topic | Number Theory Combinatorics 11D68, 11A67 |
| url | https://arxiv.org/abs/2503.02317 |