ON SOME COLOR PARTITION IDENTITIES OF SCHUR-TYPE OVERPARTITIONS

Abstract

Motivated by the work of Broudy and Lovejoy, who investigated arithmetic properties of an overpartition counting function $S(n)$ that arose in connection with Schur’s partition theorem and a universal mock theta function. In this article, we present a few Ramanujan-type color partition identities of $S(n)$. Our proof relies on basic identities of theta-functions.