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math.NT2020
On summatory arithmetic functions and a Volterra Integral equation
Alexander E Patkowski
We obtain asymptotic results for well known summatory arithmetic functions, such as and establish connections to new summatory functions. A new Volterra integral equation i…
math.NT2020
A general double sum identity, mock theta functions, and Bailey pairs
Alexander E Patkowski
We obtain some Bailey pairs associated with indefinite quadratic forms with the connected to a finite sum. A new general identity is given, which provides identities for -…