ON SOME COLOR PARTITION IDENTITIES OF SCHUR-TYPE OVERPARTITIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 21 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2025.2103.1
Author :
K. C. Ajeyakashi (Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Bengaluru - 560058, Karnataka, INDIA)
C. Shivashankar (Department of Mathematics, Vidyavardhaka College of Engineering, Gokulam III Stage, Mysuru, Karnataka - 570002, INDIA)
S. Chandankumar (Department of Mathematics and Statistics, M. S. Ramaiah University of Applied Sciences, Peenya Campus, Bengaluru - 560058, Karnataka, INDIA)

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.

Keywords and Phrases

Overpartitions, Schur-type overpartitions, Color partitions.

A.M.S. subject classification

11P83, 05A15, 05A17.

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