Weighted Sequences in Finite Cyclic Groups

David J. Grynkiewicz, Jujuan Zhuang

Let $p>7$ be a prime, let $G=\mathbb{Z}/p\mathbb{Z}$, and let $S_1={\prod }_{i=1}^p{g}_i$ and $S_2={\prod }_{i=1}^p{h}_i$ be two sequences with terms from $G$. Suppose that the maximum multiplicity of a t…