Arithmetical Functions Associated with the k-ary Divisors of an Integer

Autor: Joseph Vade Burnett, Sam Grayson, Zachary Sullivan, Richard Van Natta, Luke Bang
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2018 (2018)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
DOI: 10.1155/2018/9349245
Popis: The k-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 k-ary analogues of various popular functions in number theory, proving various results about the structure of the k-ary divisibility relations along the way.
Databáze: Directory of Open Access Journals
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