Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II
type: Item
instance of: scholarly article
title: Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\). II
zbMATH Open document ID: 1158.11008
author: Xuan-Yong Zhu
author: Wenfeng Qi
published in: Finite Fields and their Applications
publication date: 2008-09-25T00:00:00Z
review text: This is a sequel of the paper [Finite Fields Appl. 11, No. 1, 30--44 (2005; Zbl 1092.11047)]. In the first part, the authors proved for all primes \(p\geq 5\) that the distribution of the element zero in a level sequence is unique. Now they give a proof for \(p=3\) (whose techniques are very different from those used in the first part).
Mathematics Subject Classification ID: 11B50
Mathematics Subject Classification ID: 11B37
zbMATH DE Number: 5347265
zbMATH Keywords: integer residue ring
zbMATH Keywords: linear recurring sequences
zbMATH Keywords: primitive sequences
zbMATH Keywords: level sequences
reviewed by: Astrid Reifegerste
MaRDI profile type: Publication
full work available at URL: j.ffa.2006.02.002
OpenAlex ID: W4206376490
cites work: Binary sequences derived from ML-sequences over rings. I: Periods and minimal polynomials
cites work: Q4036870
cites work: A criterion for primitiveness of polynomials over \(\mathbb{Z}{}/(2^ d)\)
cites work: Q4007089
cites work: Maximal period polynomials over \(\mathbb{Z}/(p^ d)\)
cites work: Linear recurring sequences over rings and modules
cites work: A solution of the Harer-Zagier equation
cites work: Twistor spaces and harmonic maps
cites work: An upper bound for Weil exponential sums over Galois rings and applications
cites work: Q3216750
cites work: Q4046212
cites work: Distribution of \(0\) and \(1\) in the heighest level of primitive sequences over \(\mathbb{Z}/(2^ e)\)
cites work: Distribution of \(0\) and \(1\) in the highest level of primitive sequences over \({\mathbb Z}/(2^ e)\). II.
cites work: Polynomial splitting and root representation of linear recurring sequences over \(\mathbb{Z} /(p^e)\)
cites work: Uniqueness of the distribution of zeroes of primitive level sequences over \(\mathbb Z/(p^e)\)
DOI: 10.1016/J.FFA.2006.02.002
description: scientific article; zbMATH DE number 5347265