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

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A_note_on_the_distribution_of_d3(n)_in_arithmetic_progressions.pdf (220.31 KB)

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2024-10-14

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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.

Source Title

The Ramanujan Journal

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Springer New York LLC

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Keywords

Divisor functions, Divisor functions in arithmetic progressions, 3-fold divisor function, 3-fold divisor function in arithmetic progressions

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https://hdl.handle.net/11693/116761

Published Version (Please cite this version)

https://dx.doi.org/10.1007/s11139-024-00956-w

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https://creativecommons.org/licenses/by/4.0/

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Scholarly Publications - Mathematics

Language

English

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Article