Parry, Tomos2025-02-242025-02-242024-10-141382-4090https://hdl.handle.net/11693/116761Nguyen 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.EnglishCC BY 4.0 DEED (Attribution 4.0 International)https://creativecommons.org/licenses/by/4.0/Divisor functionsDivisor functions in arithmetic progressions3-fold divisor function3-fold divisor function in arithmetic progressionsArticle10.1007/s11139-024-00956-w1572-9303