Arithmetic properties of t-Schur overpartitions

Abstract

In a recent work, Nadji and Ahmia introduced the t-Schur overpartitions as an overpartition analogue for t-Schur partitions, which generalizes the classical Schur’s partitions into parts congruent to 1 or 5 modulo 6. We continue the study of this new class of overpartitions and prove several arithmetic results for the cases t = 3, 9 and t being a power of 2 or a power of 3.