5 papers
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}…
On A Divisor Sum Involving Pairwise Relatively Prime Positive Integers
Masum Billal
The number of tuples with positive integers pairwise relatively prime to each other with product at most is considered. A generalization of where is the Möbius func…
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.
Remarks On General Fibonacci Numbers
Masum Billal
We dedicate this paper to investigate the most generalized form of Fibonacci Sequence, one of the most studied sections of the mathematical literature. One can notice that, we have…
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…