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

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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:
CreatorsEmailORCIDORCID Put Code
Bringmann, KathrinUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kane, BenUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Males, JoshuaUNSPECIFIEDorcid.org/0000-0002-0324-601XUNSPECIFIED
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:
KeywordsLanguage
BLOCKSMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/57300

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