Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593975 | Journal of Number Theory | 2013 | 13 Pages |
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
Authors
Norihiko Minami,