Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Bringmann, Kathrin UNSPECIFIED UNSPECIFIED UNSPECIFIED Kane, Ben UNSPECIFIED UNSPECIFIED UNSPECIFIED Males, Joshua UNSPECIFIED orcid.org/0000-0002-0324-601X UNSPECIFIED
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:	Keywords Language BLOCKS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57300