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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2510.06032 |
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| _version_ | 1866908579619930112 |
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| author | Gu, Zijie |
| author_facet | Gu, Zijie |
| contents | This paper investigates the Erdős distinct subset sums problem in $\mathbb{Z}^k$. Beyond the classical variance method, using alternative statistical quantities like $\mathbb{E}[\|X\|_1]$ and $\mathbb{E}[\|X\|_3^3]$ can yield better bounds in certain dimensions. This innovation improves previous low-dimensional results and provides a framework for choosing suitable methods depending on the dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_06032 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Generalisation on Erdős Distinct Subset Sums Problem Gu, Zijie Combinatorics Probability This paper investigates the Erdős distinct subset sums problem in $\mathbb{Z}^k$. Beyond the classical variance method, using alternative statistical quantities like $\mathbb{E}[\|X\|_1]$ and $\mathbb{E}[\|X\|_3^3]$ can yield better bounds in certain dimensions. This innovation improves previous low-dimensional results and provides a framework for choosing suitable methods depending on the dimension. |
| title | A Generalisation on Erdős Distinct Subset Sums Problem |
| topic | Combinatorics Probability |
| url | https://arxiv.org/abs/2510.06032 |