On the upper and lower exponential density functions

In: Mathematica Slovaca, vol. 67, no. 5

Rita Giuliano - Georges Grekos

Detaily:

Rok, strany: 2017, 1105 - 1128

Kľúčové slová:

upper and lower exponential density, upper and lower asymptotic density, Dirichlet series, abscissa of convergence, $\alpha$-fractional density

DOI: https://doi.org/10.1515/ms-2017-0036

O článku:

In the present paper we introduce the upper and lower exponential density functions of subsets $A \subseteq \mathbb{N}^*$. We identify completely the form of the upper density and find many properties for the lower one. We provide examples and list some open problems.

Ako citovať:

ISO 690:

Giuliano, R., Grekos, G. 2017. On the upper and lower exponential density functions. In Mathematica Slovaca, vol. 67, no.5, pp. 1105-1128. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0036

APA:

Giuliano, R., Grekos, G. (2017). On the upper and lower exponential density functions. Mathematica Slovaca, 67(5), 1105-1128. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0036

O vydaní:

Publikované: 26. 10. 2017