On number of ordered pair of positive integers with given least common multiple
Document Type
Article
Publication Title
Results in Nonlinear Analysis
Abstract
In this article, we present an expression for the number of ordered pairs of positive integer m with a prime factorization p1a1 p2a2… pnan where αi ∈ ℤ+ and en route introduce an identity viz: (Formula Presented) Moreover, we investigate the asymptotic behavior of the mean and variance of relative number of order pairs with some given least common multiple m. The notion of ordered pair is widely used in the fields of geometry, statistics, computing and programming languages.
First Page
209
Last Page
216
DOI
10.31838/rna/2024.07.03.016
Publication Date
7-22-2024
Recommended Citation
Sheikh, Sajad A. and Mandal, Priyabrata, "On number of ordered pair of positive integers with given least common multiple" (2024). Open Access archive. 10237.
https://impressions.manipal.edu/open-access-archive/10237