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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## 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

- Alegri, M. Combinatorial Interpretations for Identities involving Chromatic Partitions, submitted.
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- Bressoud, D. M. (1978). A new family of partition identities, Pacific J. Math., 77, 71–74.
- Bressoud, D. M. (1981). Some identities for terminating q-series, Math. Proc. Cambridge Phil. Soc., 211–223.
- Lovejoy, J. (2004). Overpartitions, Trans. Amer. Math. Soc., 356, 1623–1635.
- Lovejoy, J. (2006). Overpartitions Pairs, Ann. Inst. Fourier (Grenoble), 56, 781–794.
- Lovejoy, J. (2007). Partitions and overpartitions with attached parts, Arch. Math., 88, 316–322.
- Pak, I. (2006). Partition Bijections, a Survey, Ramanujan Journal, 12, 5–75.

## Related papers

## Cite this paper

APAAlegri, 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.

ChicagoAlegri, Mateus. “Bijective Proofs Involving Chromatic Overpartitions.” Notes on Number Theory and Discrete Mathematics 25, no. 1 (2019): 128-136, doi: 10.7546/nntdm.2019.25.1.128-136.

MLAAlegri, Mateus. “Bijective Proofs Involving Chromatic Overpartitions.” Notes on Number Theory and Discrete Mathematics 25.1 (2019): 128-136. Print, doi: 10.7546/nntdm.2019.25.1.128-136.