4 citations · 28 across the 48 of their papers we have counts for
4 papers · 1 filter
A Strange Partition Theorem Related to the Second Atkin-Garvan Moment
Alexander E. Patkowski
This paper contain results on a strange smallest parts function related to the second Atkin-Garvan moment. Some new identities are discovered in relation to Andrews function…
A New Integral Equation and Some Integrals Associated with Number Theory
Alexander E Patkowski
We utilize a combination of integral transforms, including the Laplace transform, with some classical results in analytic number theory concerning the Riemann -function, to obta…
A note on the -fold Bailey Lemma and Mixed Mock Modular forms
Alexander E. Patkowski
In this paper we present a method for constructing multiple-sum -series for what is known as Mixed Mock Modular forms. We also present some multi-sum analogues of the Durfee ide…
Remarks on a Bailey pair with one free parameter
Alexander E Patkowski
We offer a more general Bailey pair than one that was proved in two different papers by two different methods [5, 12].