4 papers
Inequalities for the th Residual Crank Moments of Overpartitions
Ali H. Al-Saedi, Thomas Morrill, Holly Swisher
Two analogues of the crank function are defined for overpartitions -- the first residual crank and the second residual crank. This suggests an exploration of crank functions define…
Congruences for Restricted Plane Overpartitions Modulo 4 and 8
Ali H. Al-Saedi
In 2009, Corteel, Savelief and Vuletić generalized the concept of overpartitions to a new object called plane overpartitions. In recent work, the author considered a restricted for…
A Note on Rickart Modules
Ali H. Al-Saedi, Mehdi S. Abbas
We study the notion of Rickart property in a general module theoretic setting as a generalization to the concept of Baer modules and right Rickart rings. A module is called…
Using Periodicity to Obtain Partition Congruences
Ali H. Al-Saedi
In this paper, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of…