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
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Authors and affiliations

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


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.


  • Integer partitions
  • Overpartitions
  • Chromatic partitions
  • Partition identities

2010 Mathematics Subject Classification

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


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Cite this paper

Alegri, M. (2019). Bijective proofs involving chromatic overpartitions. Notes on Number Theory and Discrete Mathematics, 25(1), 128-136, doi: 10.7546/nntdm.2019.25.1.128-136.

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