On partitions with difference conditions
We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117120000404X |
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| _version_ | 1832552135084998656 |
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| author | José Plínio, O. Santos Paulo Mondek |
| author_facet | José Plínio, O. Santos Paulo Mondek |
| author_sort | José Plínio, O. Santos |
| collection | DOAJ |
| description | We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a
bijection and from another we have a new combinatorial
interpretation associated with a theorem of Göllnitz. |
| format | Article |
| id | doaj-art-10188319af30461eb740638c5ea2fc24 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-10188319af30461eb740638c5ea2fc242025-02-03T05:59:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124851952710.1155/S016117120000404XOn partitions with difference conditionsJosé Plínio, O. Santos0Paulo Mondek1IMECC-UNICAMP Cx.P. 6065, Campinas, SP 13083-970, BrazilCCET-UFMS Cx.P. 549, Campo Grande, MS 79070-900, BrazilWe present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.http://dx.doi.org/10.1155/S016117120000404XPartitionscombinatorial identitiesq-series. |
| spellingShingle | José Plínio, O. Santos Paulo Mondek On partitions with difference conditions International Journal of Mathematics and Mathematical Sciences Partitions combinatorial identities q-series. |
| title | On partitions with difference conditions |
| title_full | On partitions with difference conditions |
| title_fullStr | On partitions with difference conditions |
| title_full_unstemmed | On partitions with difference conditions |
| title_short | On partitions with difference conditions |
| title_sort | on partitions with difference conditions |
| topic | Partitions combinatorial identities q-series. |
| url | http://dx.doi.org/10.1155/S016117120000404X |
| work_keys_str_mv | AT joseplinioosantos onpartitionswithdifferenceconditions AT paulomondek onpartitionswithdifferenceconditions |