Standard Forms and Derivatives of Arithmetic Functions
คำสำคัญ:
arithmetic function, Dirichlet multiplication, divisors, standard form, derivativeบทคัดย่อ
The set of arithmetic functions with respect to addition and Dirichlet multiplication is a unique factorization domain but not an Euclidean domain. To find divisors in this domain is not easy. The concepts of functions in standard form and derivative-like operator due to Rearick are neither clear nor appropriate. A modification of these concepts are carried out.
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online 2452-316X print 2468-1458/Copyright © 2022. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/),
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