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A survey of the alternating sum-of-divisors function

Tóth, László (2014) A survey of the alternating sum-of-divisors function. ACTA UNIVERSITATIS SAPIENTIAE MATHEMATICA, 5 (1). pp. 93-107. ISSN 1844-6094

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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.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 08 Feb 2024 11:58
Last Modified: 08 Feb 2024 11:58
URI: http://real.mtak.hu/id/eprint/187900

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