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math.NT2022
Asymptotic Result of A Generalization of A GCD-Sum
Masum Billal
In a paper in the American Mathematical Monthly, the corresponding author asks for an asymptotic of a gcd-sum function \begin{align}\sum_{ab\leq N}τ(\gcd(a,b))\label{eqn:taugcdsum}…
math.NT2015
Exponent Lifting Property of Integer Sequences
Masum Billal
The purpose of this paper is to investigate integer sequences with exponent lifting property, a property common in Fibonacci or Lucas sequences.
math.NT2015
Memoir on Divisibility Sequences
Masum Billal
The purpose of this memoir is to discuss two very interesting properties of integer sequences. One is the law of apparition and the other is the law of repetition. Both have been e…