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- Publisher Website: 10.1016/j.disc.2008.06.024
- Scopus: eid_2-s2.0-67349201438
- WOS: WOS:000266541200009
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Article: On simultaneous s-cores/t-cores
| Title | On simultaneous s-cores/t-cores |
|---|---|
| Authors | |
| Keywords | Generating functions Partitions t-cores Characterization Function evaluation |
| Issue Date | 2009 |
| Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/issn/0012365X |
| Citation | Discrete Mathematics, 2009, v. 309 n. 9, p. 2712-2720 How to Cite? |
| Abstract | In this paper, the authors investigate the question of when a partition of n∈N is an s-core and also a t-core when s and t are not relatively prime. A characterization of all such s/t-cores is given, as well as a generating function dependent upon the polynomial generating functions for s/t-cores when s and t are relatively prime. Furthermore, characterizations and generating functions are given for s/t-cores which are self-conjugate and also for (e,r)/(e′,r)-cores. |
| Persistent Identifier | http://hdl.handle.net/10722/192190 |
| ISSN | 2023 Impact Factor: 0.7 2023 SCImago Journal Rankings: 0.801 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Aukerman, D | en_US |
| dc.contributor.author | Kane, B | en_US |
| dc.contributor.author | Sze, L | en_US |
| dc.date.accessioned | 2013-10-23T09:27:17Z | - |
| dc.date.available | 2013-10-23T09:27:17Z | - |
| dc.date.issued | 2009 | en_US |
| dc.identifier.citation | Discrete Mathematics, 2009, v. 309 n. 9, p. 2712-2720 | en_US |
| dc.identifier.issn | 0012-365X | en_US |
| dc.identifier.uri | http://hdl.handle.net/10722/192190 | - |
| dc.description.abstract | In this paper, the authors investigate the question of when a partition of n∈N is an s-core and also a t-core when s and t are not relatively prime. A characterization of all such s/t-cores is given, as well as a generating function dependent upon the polynomial generating functions for s/t-cores when s and t are relatively prime. Furthermore, characterizations and generating functions are given for s/t-cores which are self-conjugate and also for (e,r)/(e′,r)-cores. | - |
| dc.language | eng | en_US |
| dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/issn/0012365X | - |
| dc.relation.ispartof | Discrete Mathematics | en_US |
| dc.rights | © 2008. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | - |
| dc.subject | Generating functions | - |
| dc.subject | Partitions | - |
| dc.subject | t-cores | - |
| dc.subject | Characterization | - |
| dc.subject | Function evaluation | - |
| dc.title | On simultaneous s-cores/t-cores | en_US |
| dc.type | Article | en_US |
| dc.description.nature | postprint | - |
| dc.identifier.doi | 10.1016/j.disc.2008.06.024 | en_US |
| dc.identifier.scopus | eid_2-s2.0-67349201438 | en_US |
| dc.identifier.volume | 309 | en_US |
| dc.identifier.issue | 9 | en_US |
| dc.identifier.spage | 2712 | en_US |
| dc.identifier.epage | 2720 | en_US |
| dc.identifier.isi | WOS:000266541200009 | - |
| dc.publisher.place | Netherlands | - |
| dc.identifier.issnl | 0012-365X | - |