Equidistribution of subset sums
Combinatorics
2025-05-20 v1 Number Theory
Abstract
We answer a question of Katona and Makar-Limanov, by showing that in an abelian group of order the -element subset sums are asymptotically (as ) 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''.
Cite
@article{arxiv.2505.12496,
title = {Equidistribution of subset sums},
author = {Péter Pál Pach},
journal= {arXiv preprint arXiv:2505.12496},
year = {2025}
}