Partitions into large unequal parts from a general sequence
An asymptotic estimate is obtained for the number of partitions of the positive integer n into unequal parts coming from a sequence u, with each part greater than m, under suitable conditions on the sequence u. The estimate holds uniformly with respect to integers m such that $0\le m \le n^{1-\delta...
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| Format: | Journal Article |
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Cambridge University Press
2006
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| Online Access: | http://hdl.handle.net/20.500.11937/6329 |
| _version_ | 1848745044951957504 |
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| author | Fergusson, Kevin |
| author_facet | Fergusson, Kevin |
| author_sort | Fergusson, Kevin |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | An asymptotic estimate is obtained for the number of partitions of the positive integer n into unequal parts coming from a sequence u, with each part greater than m, under suitable conditions on the sequence u. The estimate holds uniformly with respect to integers m such that $0\le m \le n^{1-\delta }$, as $n\to\infty $, where $\delta $ is a given real number, such that $0<\delta < 1$. |
| first_indexed | 2025-11-14T06:11:06Z |
| format | Journal Article |
| id | curtin-20.500.11937-6329 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:11:06Z |
| publishDate | 2006 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-63292017-02-28T01:30:04Z Partitions into large unequal parts from a general sequence Fergusson, Kevin An asymptotic estimate is obtained for the number of partitions of the positive integer n into unequal parts coming from a sequence u, with each part greater than m, under suitable conditions on the sequence u. The estimate holds uniformly with respect to integers m such that $0\le m \le n^{1-\delta }$, as $n\to\infty $, where $\delta $ is a given real number, such that $0<\delta < 1$. 2006 Journal Article http://hdl.handle.net/20.500.11937/6329 Cambridge University Press restricted |
| spellingShingle | Fergusson, Kevin Partitions into large unequal parts from a general sequence |
| title | Partitions into large unequal parts from a general sequence |
| title_full | Partitions into large unequal parts from a general sequence |
| title_fullStr | Partitions into large unequal parts from a general sequence |
| title_full_unstemmed | Partitions into large unequal parts from a general sequence |
| title_short | Partitions into large unequal parts from a general sequence |
| title_sort | partitions into large unequal parts from a general sequence |
| url | http://hdl.handle.net/20.500.11937/6329 |