Some combinatorial number theory problems over finite valuation rings

Published 25 Oct 2015 in math.CO and math.NT | (1510.07218v2)

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.

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