A note on cube-full numbers in arithmetic progression
type: Item
instance of: scholarly article
title: A note on cube-full numbers in arithmetic progression
zbMATH Open document ID: 1477.11169
DOI: 10.1155/2021/5552120
author: Mingxuan Zhong
author: Yuankui Ma
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: We obtain an asymptotic formula for the cube-full numbers in an arithmetic progression \(n\equiv l(\mod q)\), where \((q,l)=1\). By extending the construction derived from Dirichlet's hyperbola method and relying on Kloosterman-type exponential sum method, we improve the very recent error term with \(x^{(118/4029)}<q\).
Mathematics Subject Classification ID: 11N25
Mathematics Subject Classification ID: 11L07
Mathematics Subject Classification ID: 11P21
Mathematics Subject Classification ID: 11N37
zbMATH DE Number: 7361999
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5552120
OpenAlex ID: W3134232923
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description: scientific article; zbMATH DE number 7361999