Equidistribution of subset sums
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912381311909888 |
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| author | Pach, Péter Pál |
| author_facet | Pach, Péter Pál |
| contents | We answer a question of Katona and Makar-Limanov, by showing that in an abelian group of order $2h$ the $h$-element subset sums are asymptotically (as $h\to \infty$) equidistributed. In fact we prove a more general result where the order of the group can be arbitrary, also providing a bound for the ``error term''. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12496 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equidistribution of subset sums Pach, Péter Pál Combinatorics Number Theory We answer a question of Katona and Makar-Limanov, by showing that in an abelian group of order $2h$ the $h$-element subset sums are asymptotically (as $h\to \infty$) equidistributed. In fact we prove a more general result where the order of the group can be arbitrary, also providing a bound for the ``error term''. |
| title | Equidistribution of subset sums |
| topic | Combinatorics Number Theory |
| url | https://arxiv.org/abs/2505.12496 |