On some functions involving the lcm and gcd of integer tuples
Journal article
Authors | Bagdasar, Ovidiu |
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Abstract | In this paper an explicit formula for the number of tuples of positive integers having the same lowest common multiple n is derived, and some of the properties of the resulting arithmetic function are analyzed. The tuples having also the same greatest common divisor are investigated, while some novel or existing integer sequences are recovered as particular cases. A formula linking the gcd and lcm for tuples of integers is also presented. |
In this paper an explicit formula for the number of tuples of positive integers having | |
Keywords | Divisibility; Lowest common multiple; Greatest common divisor; Integer sequences |
Year | 2014 |
Journal | Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics |
ISSN | 2217-5539 |
Digital Object Identifier (DOI) | https://doi.org/10.5937/SPSUNP1402091B |
Web address (URL) | http://hdl.handle.net/10545/583372 |
hdl:10545/583372 | |
Publication dates | Jun 2014 |
Publication process dates | |
Deposited | 08 Dec 2015, 09:09 |
Rights | Archived with thanks to Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics |
Contributors | University of Derby |
File | File Access Level Open |
File | File Access Level Open |
https://repository.derby.ac.uk/item/92yyw/on-some-functions-involving-the-lcm-and-gcd-of-integer-tuples
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