Bijective proofs involving chromatic overpartitions

Mateus Alegri
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 25, 2019, Number 1, Pages 128–136
DOI: 10.7546/nntdm.2019.25.1.128-136
Full paper (PDF, 171 Kb)

Details

Authors and affiliations

Mateus Alegri
Department of Mathematics (DMAI), University of Sergipe
49500-000, Itabaiana-SE, Brazil

Abstract

In this paper, our aim is to provide two bijective proofs for identities involving what we call chromatic overpartitions, which is a generalization of the well-known overpartitions class. For this purpose we will give the mathematical definitions of chromatic overpartitions, providing their respective generating functions.

Keywords

• Integer partitions
• Overpartitions
• Chromatic partitions
• Partition identities

2010 Mathematics Subject Classification

• Primary
  • 05A17
• Secondary
  • 11P82
  • 11P84

References

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