Arithmetic-Progression-Weighted Subsequence Sums

David J. Grynkiewicz, Andreas Philipp, Vadim Ponomarenko

Let $G$ be an abelian group, let $S$ be a sequence of terms $s_1,s_2,...,s_n\in G$ not all contained in a coset of a proper subgroup of $G$, and let $W$ be a sequence of $n$ cons…