English

Ramanujan expansions of arithmetic functions of several variables

Number Theory 2018-11-13 v3

Abstract

We generalize certain recent results of Ushiroya concerning Ramanujan expansions of arithmetic functions of two variables. We also show that some properties on expansions of arithmetic functions of one and several variables using classical and unitary Ramanujan sums, respectively, run parallel.

Keywords

Cite

@article{arxiv.1704.02881,
  title  = {Ramanujan expansions of arithmetic functions of several variables},
  author = {László Tóth},
  journal= {arXiv preprint arXiv:1704.02881},
  year   = {2018}
}

Comments

15 pages, revised