Restricted partitions
We prove a known partitions theorem by Bell in an elementary and constructive way. Our proof yields a simple recursive method to compute the corresponding Sylvester polynomials for the partition. The previous known methods to obtain these polynomials are in general not elementary.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204306502 |
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| _version_ | 1832564446478729216 |
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| author | Rafael Jakimczuk |
| author_facet | Rafael Jakimczuk |
| author_sort | Rafael Jakimczuk |
| collection | DOAJ |
| description | We prove a known partitions theorem by Bell in an elementary and
constructive way. Our proof yields a simple recursive method to
compute the corresponding Sylvester polynomials for the
partition. The previous known methods to obtain these polynomials
are in general not elementary. |
| format | Article |
| id | doaj-art-01f68b23fbb84bc69f3eaa5ca92b9d52 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-01f68b23fbb84bc69f3eaa5ca92b9d522025-02-03T01:10:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004361893189610.1155/S0161171204306502Restricted partitionsRafael Jakimczuk0División Matemática, Universidad Nacional de Luján, 6700 Luján, Buenos Aires, ArgentinaWe prove a known partitions theorem by Bell in an elementary and constructive way. Our proof yields a simple recursive method to compute the corresponding Sylvester polynomials for the partition. The previous known methods to obtain these polynomials are in general not elementary.http://dx.doi.org/10.1155/S0161171204306502 |
| spellingShingle | Rafael Jakimczuk Restricted partitions International Journal of Mathematics and Mathematical Sciences |
| title | Restricted partitions |
| title_full | Restricted partitions |
| title_fullStr | Restricted partitions |
| title_full_unstemmed | Restricted partitions |
| title_short | Restricted partitions |
| title_sort | restricted partitions |
| url | http://dx.doi.org/10.1155/S0161171204306502 |
| work_keys_str_mv | AT rafaeljakimczuk restrictedpartitions |