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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.GM2024
Certain products of sums of Lambert series
Aung Phone Maw
Using elementary means, we prove an identity giving the infinite product form of a sum of Lambert series originally stated by Venkatachaliengar, then rediscovered by Andrews, Lewis…
math.CO2024
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…