A note on the distribution of d3(n) in arithmetic progressions

buir.contributor.author	Parry, Tomos
dc.citation.epage	1708
dc.citation.issueNumber	4
dc.citation.spage	1697
dc.citation.volumeNumber	65
dc.contributor.author	Parry, Tomos
dc.date.accessioned	2025-02-24T12:39:05Z
dc.date.available	2025-02-24T12:39:05Z
dc.date.issued	2024-10-14
dc.department	Department of Mathematics
dc.description.abstract	Nguyen has shown that on averaging over a=1,...,q the 3-fold divisor function has exponent of distribution 2/3, following Banks et al. (Int Math Res Not 1:1-25, 2005). We follow (Blomer, in: Q J Math 59:275-286, 2008) which leads to stronger bounds.
dc.identifier.doi	10.1007/s11139-024-00956-w
dc.identifier.eissn	1572-9303
dc.identifier.issn	1382-4090
dc.identifier.uri	https://hdl.handle.net/11693/116761
dc.language.iso	English
dc.publisher	Springer New York LLC
dc.relation.isversionof	https://dx.doi.org/10.1007/s11139-024-00956-w
dc.rights	CC BY 4.0 DEED (Attribution 4.0 International)
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.source.title	The Ramanujan Journal
dc.subject	Divisor functions
dc.subject	Divisor functions in arithmetic progressions
dc.subject	3-fold divisor function
dc.subject	3-fold divisor function in arithmetic progressions
dc.title	A note on the distribution of d3(n) in arithmetic progressions
dc.type	Article

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