Some inverse problems in zero-sum theory
type: Item
instance of: scholarly article
title: Some inverse problems in zero-sum theory
author: Md Ibrahim Molla
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2022-11-29T00:00:00Z
review text: The author proves five main results about some special sequences over \(\mathbb{Z} / n \mathbb{Z}\). The simplest result reads as follows: Theorem. Let \(r,n\) be positive integers. Assume that \(n \geq 4\). If a sequence \(S\) of length \((r+1)n-2\) over \(\mathbb{Z} / n \mathbb{Z}\) does not have any \(r n\)-length zero-sum subsequence, then \(S\) contains two elements of \(\mathbb{Z} / n \mathbb{Z}\) such that one of them occurs \((r-1) n -1\) times and the other element occurs \((i+1) n -1\) times, for some \(i \in \{0,1,\ldots,r-1\}\).
Mathematics Subject Classification ID: 11B50
Mathematics Subject Classification ID: 11P70
Mathematics Subject Classification ID: 05E16
zbMATH DE Number: 7625374
zbMATH Keywords: inverse zero-sum problems
zbMATH Keywords: weighted zero-sum constants
reviewed by: Luis Gallardo
MaRDI profile type: Publication
full work available at URL: s12044-022-00712-4
OpenAlex ID: W4309070540
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DOI: 10.1007/S12044-022-00712-4
description: scientific article; zbMATH DE number 7625374