À propos de cet article
Publié en ligne: 06 juin 2014
Pages: 93 - 107
Reçu: 13 oct. 2012
DOI: https://doi.org/10.2478/ausm-2014-0007
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© 2014
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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.