A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918342705545216 |
|---|---|
| author | Uncu, Ali K. |
| author_facet | Uncu, Ali K. |
| contents | We give new proofs of MacMahon and Russell's modulo 6 identities using the method of weighted words. We also present a new refinement of MacMahon's identity, some related finite sum identities, and a companion partition theorem to sequence avoiding partitions theorem of the author and Andrews. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15232 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities Uncu, Ali K. Combinatorics Number Theory Primary 11P84, Secondary 05A10, 05A15, 05A17, 11B65, 11C08, 11P81 We give new proofs of MacMahon and Russell's modulo 6 identities using the method of weighted words. We also present a new refinement of MacMahon's identity, some related finite sum identities, and a companion partition theorem to sequence avoiding partitions theorem of the author and Andrews. |
| title | A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities |
| topic | Combinatorics Number Theory Primary 11P84, Secondary 05A10, 05A15, 05A17, 11B65, 11C08, 11P81 |
| url | https://arxiv.org/abs/2602.15232 |