A survey of the alternating sum-of-divisors function-Reference-Cited by-同舟云学术

A survey of the alternating sum-of-divisors function

Published:2013-02-01 Issue:1 Volume:5 Page:93-107
ISSN:2066-7752
Container-title:Acta Universitatis Sapientiae, Mathematica
language:en
Short-container-title:

Author:

Tóth László¹

Affiliation:

1. Universität für Bodenkultur, Institute of Mathematics Department of Integrative Biology Gregor Mendel-Straße 33, A-1180 Wien, Austria / University of Pécs, Department of Mathematics Ifjúság u. 6, H-7624 Pécs, Hungary

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/ausm-2014-0007

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