Equidistribution of subset sums

Péter Pál Pach

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arXiv · 2505.12496

Equidistribution of subset sums

Péter Pál Pach

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Abstract

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''.

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Péter Pál Pach. 2025-05-18. Equidistribution of subset sums. https://arxiv.org/abs/2505.12496

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