"On number of ordered pair of positive integers with given least common" by Sajad A. Sheikh and Priyabrata Mandal
 

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

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