3 papers
math.CO2025
On a double series
Aung Phone Maw
We shall investigate and arrive at a certain functional property of the double series \[ \sum\limits_{n,r\geq 1}\frac{1}{\sqrt{x^2n^2+r^2+w^2}\left( e^{2 πy\sqrt{x^2n^2+r^2+w^2}}-1…
math.CO2024
Analytic expressions pertaining to certain arithmetical functions
Aung Phone Maw
We demonstrate the general outlines of a method for obtaining analytic expressions for certain types of general arithmetical sums. In particular, analytical expressions for a gener…
math.CO2017
Recursive Harmonic Numbers and Binomial Coefficients
Aung Phone Maw, Aung Kyaw
We define recursive harmonic numbers as a generalization of harmonic numbers. The table of recursive harmonic numbers, which is like Pascal's triangle, is constructed. A formula fo…