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- Publisher Website: 10.1016/j.jcta.2021.105479
- Scopus: eid_2-s2.0-85106228412
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Article: On t-core and self-conjugate (2t − 1)-core partitions in arithmetic progressions
| Title | On t-core and self-conjugate (2t − 1)-core partitions in arithmetic progressions |
|---|---|
| Authors | |
| Keywords | Abaci and t-residue diagrams Hurwitz class numbers t-core partitions |
| Issue Date | 2021 |
| Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcta |
| Citation | Journal of Combinatorial Theory, Series A, 2021, v. 183, p. article no. 105479 How to Cite? |
| Abstract | We extend recent results of Ono and Raji, relating the number of self-conjugate 7-core partitions to Hurwitz class numbers. Furthermore, we give a combinatorial explanation for the curious equality 2sc7(8n+1)=c4(7n+2). We also conjecture that an equality of this shape holds if and only if t=4, proving the cases t∈{2,3,5} and giving partial results for t>5. © 2021 Elsevier Inc. |
| Persistent Identifier | http://hdl.handle.net/10722/300590 |
| ISSN | 2021 Impact Factor: 1.263 2020 SCImago Journal Rankings: 1.187 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Bringmann, K | - |
| dc.contributor.author | Kane, B | - |
| dc.contributor.author | Males, J | - |
| dc.date.accessioned | 2021-06-18T14:54:11Z | - |
| dc.date.available | 2021-06-18T14:54:11Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | Journal of Combinatorial Theory, Series A, 2021, v. 183, p. article no. 105479 | - |
| dc.identifier.issn | 0097-3165 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/300590 | - |
| dc.description.abstract | We extend recent results of Ono and Raji, relating the number of self-conjugate 7-core partitions to Hurwitz class numbers. Furthermore, we give a combinatorial explanation for the curious equality 2sc7(8n+1)=c4(7n+2). We also conjecture that an equality of this shape holds if and only if t=4, proving the cases t∈{2,3,5} and giving partial results for t>5. © 2021 Elsevier Inc. | - |
| dc.language | eng | - |
| dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jcta | - |
| dc.relation.ispartof | Journal of Combinatorial Theory, Series A | - |
| dc.subject | Abaci and t-residue diagrams | - |
| dc.subject | Hurwitz class numbers | - |
| dc.subject | t-core partitions | - |
| dc.title | On t-core and self-conjugate (2t − 1)-core partitions in arithmetic progressions | - |
| dc.type | Article | - |
| dc.identifier.email | Kane, B: bkane@hku.hk | - |
| dc.identifier.authority | Kane, B=rp01820 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.jcta.2021.105479 | - |
| dc.identifier.scopus | eid_2-s2.0-85106228412 | - |
| dc.identifier.hkuros | 323016 | - |
| dc.identifier.volume | 183 | - |
| dc.identifier.spage | article no. 105479 | - |
| dc.identifier.epage | article no. 105479 | - |
| dc.identifier.isi | WOS:000670043200001 | - |
| dc.publisher.place | United States | - |