Equidistribution modulo 1
type: Item
instance of: scholarly article
title: Equidistribution modulo 1
zbMATH Open document ID: 1477.11129
DOI: 10.1155/2021/1357859
author: Wiem Gadri
published in: Journal of Mathematics
publication date: 2021-06-23T00:00:00Z
review text: Summary: The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by \textit{M. Car} [Acta Arith. 88, No. 2, 141--153 (1999; Zbl 0947.11036)], inspired by the equidistribution of the sequence \((n^\alpha)_{n\in N}\) where \(0<\alpha<1\), is the study of the sequence \((K^{(1/l)})\), where \(K\) is a polynomial having an \(l\)-th root in the field of formal power series. In this paper, we consider the sequence \((L^{'(1/l)})\), where \(L'\) is a polynomial having an \(l\)-th root in the field of formal power series and satisfying \(L'\equiv B\mod C\). Our main result is to prove the uniform distribution in the Laurent series case. Particularly, we prove the case for irreducible polynomials.
Mathematics Subject Classification ID: 11K06
Mathematics Subject Classification ID: 11T55
zbMATH DE Number: 7362400
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/1357859
OpenAlex ID: W3132418420
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description: scientific article; zbMATH DE number 7362400