Bringmann, Kathrin, Kane, Ben and Males, Joshua ORCID: 0000-0002-0324-601X
(2021).
On t-core and self-conjugate (2t-1)-core partitions in arithmetic progressions.
J. Comb. Theory Ser. A, 183.
SAN DIEGO:
ACADEMIC PRESS INC ELSEVIER SCIENCE.
ISSN 1096-0899
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 2 (sc7)(8n + 1) = c(4)(7n + 2). We also conjecture that an equality of this shape holds if and only if t = 4, proving the cases t epsilon {2, 3, 5} and giving partial results for t > 5. (C) 2021 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
|
||||||||||||||||
URN: | urn:nbn:de:hbz:38-573002 | ||||||||||||||||
DOI: | 10.1016/j.jcta.2021.105479 | ||||||||||||||||
Journal or Publication Title: | J. Comb. Theory Ser. A | ||||||||||||||||
Volume: | 183 | ||||||||||||||||
Date: | 2021 | ||||||||||||||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||||||
Place of Publication: | SAN DIEGO | ||||||||||||||||
ISSN: | 1096-0899 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
Uncontrolled Keywords: |
|
||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/57300 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
![]() |
View Item |