Extending Recent Congruence Results on t-Schur overpartitions

2025/08/22 by Ajeyakashi, K. C., Bharadwaj, H. S. Sumanth, Chandankumar, S. · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.16346

Abstract

Recently, Nadji and Ahmia~\citenadji2021 introduced the notion of t-Schur overpartitions and investigated their combinatorial and arithmetic properties. In this paper, we extend their work and establish several new congruence relations for t-Schur overpartitions. For example, for all n ≥ 0 we prove S₉(24n+23)≡ 0 \pmod32.

Citations

• Arithmetic properties of t-Schur overpartitions
• On the arithmetic properties of partitions into parts simultaneously 4-regular and 9-distinct
• Some Properties of Overpartitions into Nonmultiples of Two Integers
• A bijection for partitions simultaneously s-regular and t-distinct

Cited by

• Arithmetic properties of t-Schur overpartitions

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