Arithmetical Functions Associated with the -ary Divisors of an Integer

Joseph Vade Burnett, Sam Grayson, Zachary Sullivan, Richard Van Natta and Luke Bang

International Journal of Mathematics and Mathematical Sciences, 2018, vol. 2018, 1-7

Abstract:

The -ary divisibility relations are a class of recursively defined relations beginning with standard divisibility and culminating in the so-called infinitary divisibility relation. We examine the summatory functions corresponding to the -ary analogues of various popular functions in number theory, proving various results about the structure of the -ary divisibility relations along the way.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9349245

DOI: 10.1155/2018/9349245

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