Article ID Journal Published Year Pages File Type
4593975 Journal of Number Theory 2013 13 Pages PDF
Abstract

We compute the “moments” and its continuous analogue of the random variable Nr∋(k1,k2,…,kr)↦gcd(n,k1k2⋯kr)∈NNr∋(k1,k2,…,kr)↦gcd(n,k1k2⋯kr)∈N by an elementary method. This generalizes a result of Kurokawa–Ochiai, which computed its “average” using some analysis involving L-function.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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