Journal of the Ramanujan Mathematical Society
Volume 40, Issue 2, June 2025 pp. 125–150.
Partitions into parts simultaneously regular and distinct
Authors:
Mohammed L. Nadji and Moussa Ahmia
Author institution:Faculty of Mathematics, University of Science and Technology Houari Boumediene, Algiers, Algeria.
Summary:
In this paper, we explore a multi-restricted set of partitions that lies at the intersection of the classical
ℓ-regular and t-distinct (parts appearing at most t times) partition sets. We introduce the t-Schur's partitions and
overpartitions, investigate other equinumerous classes of partitions, and examine their combinatorial and arithmetic
properties.
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