Abstract: We show that the alternating sum-of-divisors
where even if not a multiplicative function, has good factorization properties for a special class of integers N which we call “of a super-increasing type” – with factorization with and for As a consequence, for this class of integers, the open problem where represents the totient function, is solved affirmatively.
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Keywords and phrases: alternating sum-of-divisors, totient function.
Received: November 20, 2023; Revised: December 1, 2023; Accepted: December 26, 2023; Published: January 30, 2024
How to cite this article: Mihai Caragiu and Kaleb Swieringa, On the alternating sum-of-divisors, JP Journal of Algebra, Number Theory and Applications 63(2) (2024), 97-110. http://dx.doi.org/10.17654/0972555524006
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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