Some combinatorial number theory problems over finite valuation rings

Abstract

Let $\mathcal{R}$ be a finite valuation ring of order $q^r$. In this paper we generalize and improve several well-known results, which were studied over finite fields ${\mathbb{F}}_q$ and finite cyclic rings $\mathbb{Z}/p^r\mathbb{Z}$, in the setting of finite valuation rings.

arXiv admin note: text overlap with arXiv:1510.03479