Multiplicative Arithmetic Functions of Several Variables: A Survey

@article{Tth2014MultiplicativeAF,
  title={Multiplicative Arithmetic Functions of Several Variables: A Survey},
  author={L{\'a}szl{\'o} Fejes T{\'o}th},
  journal={arXiv: Number Theory},
  year={2014},
  pages={483-514}
}
  • L. Tóth
  • Published 2014
  • Mathematics
  • arXiv: Number Theory
We survey general properties of multiplicative arithmetic functions of several variables and related convolutions, including the Dirichlet convolution and the unitary convolution. We introduce and investigate a new convolution, called gcd convolution. We define and study the convolutes of arithmetic functions of several variables, according to the different types of convolutions. We discuss the multiple Dirichlet series and Bell series and present certain arithmetic and asymptotic results of… Expand
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