Hook type tableaux and partition identities

Koustav Banerjee and Manosij Ghosh Dastidar
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 28, 2022, Number 4, Pages 635–647
DOI: 10.7546/nntdm.2022.28.4.635-647
Full paper (PDF, 205 Kb)

Details

Authors and affiliations

Koustav Banerjee
Research Institute for Symbolic Computation, Johannes Kepler University
Altenberger Straße 69, A-4040 Linz, Austria

Manosij Ghosh Dastidar
Technische Universität Wien
Wiedner Hauptstraße 8–10/104, 1040 Wien, Austria

Abstract

In this paper we exhibit the box-stacking principle (BSP) in conjunction with Young diagrams to prove generalizations of Stanley’s and Elder’s theorems without even the use of partition statistics in general. We primarily focus on to study Stanley’s theorem in color partition context.

Keywords

• Hook type
• Partitions
• Young tableaux
• Stanley’s theorem

2020 Mathematics Subject Classification

• 05A19
• 11P81
• 11P84

References

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Manuscript history

• Received: 22 February 2022
• Accepted: 12 October 2022
• Online First: 24 October 2022