O artykule
Data publikacji: 06 cze 2014
Zakres stron: 93 - 107
Otrzymano: 13 paź 2012
DOI: https://doi.org/10.2478/ausm-2014-0007
Słowa kluczowe
© 2014
This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
We survey arithmetic and asymptotic properties of the alternating sum-of-divisors function β defined by β(pa) = pa − pa−1 + pa−2 − · · · + (−1)a for every prime power pa (a ≥ 1), and extended by multiplicativity. Certain open problems are also stated.