On the random variable N^r ni (k₁, k₂, ..., k_r) mapsto gcd(n,k₁k₂... k_r) in N
classification
🧮 math.NT
keywords
mapstorandomvariableanalysisanaougueaveragecomputecomputed
read the original abstract
We compute the "moments" and its continuous anaougue of the random variable $\N^r \ni (k_1, k_2, ..., k_r) \mapsto \gcd(n,k_1k_2... k_r) \in \N$ by a purely elementary method. This generalizes a result of Kurokawa-Ochiai, which computed its "average" using some analysis involving L-function.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.