English

Generalized GCD matrices

Number Theory 2010-12-30 v1

Abstract

Let ff be an arithmetical function. The matrix [f(i,j)]n×n[f(i,j)]_{n\times n} given by the value of ff in greatest common divisor of (i,j)(i,j), f((i,j))f\big((i,j)\big) as its i,  ji,\; j entry is called the greatest common divisor (GCD) matrix. We consider the generalization of this matrix where the elements are in the form f(i,(i,j))f\big(i,(i,j)\big).

Cite

@article{arxiv.1012.5445,
  title  = {Generalized GCD matrices},
  author = {Antal Bege},
  journal= {arXiv preprint arXiv:1012.5445},
  year   = {2010}
}
R2 v1 2026-06-21T17:04:07.333Z