Equidistribution of subset sums

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 ∞) 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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