5 papers · 1 filter
Revisiting an infinitely nested radical
Aung Phone Maw
We revisit an infinitely nested radical by Ramanujan. Utilizing the full strength of his method, we shall arrive at some new infinitely nested radicals.
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 Ïy\sqrt{x^2n^2+r^2+w^2}}-…
On certain -multiple sums
Aung Phone Maw
We present outlines of a general method to reach certain kinds of -multiple sum identities. Throughout our exposition, we shall give generalizations to the results given by Dilc…
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…
On q-series identities with multiple sums related to divisor functions
Aung Phone Maw
We provide an exposition of q-identities with multiple sums related to divisor functions given by Dilcher, Prodinger, Fu and Lascoux, Zeng, Guo and Zhang. Meanwhile, for each of th…