Treffer: Some combinatorial number theory problems over finite valuation rings

Title:
Some combinatorial number theory problems over finite valuation rings
Publisher Information:
Duke University Press
Publication Year:
2017
Collection:
Project Euclid (Cornell University Library)
Subject Terms:
Document Type:
Fachzeitschrift text
File Description:
application/pdf
Language:
English
ISSN:
0019-2082
1945-6581
Relation:
https://projecteuclid.org/euclid.ijm/1520046218; Illinois J. Math. 61, no. 1-2 (2017), 243-257
DOI:
10.1215/ijm/1520046218
Rights:
Copyright 2017 University of Illinois at Urbana-Champaign
Accession Number:
edsbas.FC7A3F68
Database:
BASE

Weitere Informationen

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.