Combinatorial proof of a result on generalized overcubic partitions and related conjectures
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915653806456832 |
|---|---|
| author | Ghoshal, Suparno Jana, Arijit |
| author_facet | Ghoshal, Suparno Jana, Arijit |
| contents | Extending Sellers' result, Das et al. recently proved some congruence results for generalized overcubic partitions using theta functions and posed some related conjectures. In this paper, we provide a combinatorial proof of a result in modulo $4$ of Das et al. and confirm some of their conjectures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04775 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combinatorial proof of a result on generalized overcubic partitions and related conjectures Ghoshal, Suparno Jana, Arijit Number Theory 11P83, 05A15, 05A17 Extending Sellers' result, Das et al. recently proved some congruence results for generalized overcubic partitions using theta functions and posed some related conjectures. In this paper, we provide a combinatorial proof of a result in modulo $4$ of Das et al. and confirm some of their conjectures. |
| title | Combinatorial proof of a result on generalized overcubic partitions and related conjectures |
| topic | Number Theory 11P83, 05A15, 05A17 |
| url | https://arxiv.org/abs/2512.04775 |