Open Access
Spring and Summer 2017 Some combinatorial number theory problems over finite valuation rings
Thang Pham, Le Anh Vinh
Illinois J. Math. 61(1-2): 243-257 (Spring and Summer 2017). DOI: 10.1215/ijm/1520046218

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.

Citation

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Thang Pham. Le Anh Vinh. "Some combinatorial number theory problems over finite valuation rings." Illinois J. Math. 61 (1-2) 243 - 257, Spring and Summer 2017. https://doi.org/10.1215/ijm/1520046218

Information

Received: 26 September 2016; Revised: 18 December 2017; Published: Spring and Summer 2017
First available in Project Euclid: 3 March 2018

zbMATH: 1387.11093
MathSciNet: MR3770845
Digital Object Identifier: 10.1215/ijm/1520046218

Subjects:
Primary: 05C25 , 05C50 , 11T24

Rights: Copyright © 2017 University of Illinois at Urbana-Champaign

Vol.61 • No. 1-2 • Spring and Summer 2017
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