On the uniqueness conjecture for the maximum Stirling numbers of the second kind

Adell, José A.; Cárdenas-Morales, Daniel

On the uniqueness conjecture for the maximum Stirling numbers of the second kind

dc.contributor.author	Adell, José A.
dc.contributor.author	Cárdenas-Morales, Daniel
dc.date.accessioned	2024-09-09T07:01:25Z
dc.date.available	2024-09-09T07:01:25Z
dc.date.issued	2021-04-15
dc.description	This version of the article was accepted for publication after peer review. It is subject to Springer Nature’s AM terms of use. It is not the Version of Record, available online at https://doi.org/10.1007/s00025-021-01393-7	es_ES
dc.description.abstract	The Stirling numbers of the second kind S(n,k) satisfy S(n,0) < · · · < S(n,kn) ≥ S(n,kn+1) > · · · > S(n,n). A long standing conjecture asserts that there exists no n ≥ 3 such that S(n,kn) = S(n,kn +1). In this note, we give a characterization of this conjecture in terms of multinomial probabilities, as well as sufficient conditions on n ensuring that S(n,kn)> S(n,kn+1).	es_ES
dc.description.sponsorship	This work is partially supported by Research Project PGC2018-097621-B-I00. The second author is also supported by Junta de Andaluc´ıa Research Group FQM-0178.	es_ES
dc.identifier.citation	Adell, J.A., Cárdenas-Morales, D. On the Uniqueness Conjecture for the Maximum Stirling Numbers of the Second Kind. Results Math 76, 93 (2021)	es_ES
dc.identifier.issn	1422-6383	es_ES
dc.identifier.other	https://doi.org/10.1007/s00025-021-01393-7	es_ES
dc.identifier.uri	https://hdl.handle.net/10953/3182
dc.publisher	Springer	es_ES
dc.relation.ispartof	Results in Mathematics	es_ES
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES
dc.subject	Stirling number of the second kind	es_ES
dc.subject	uniqueness conjecture	es_ES
dc.subject	multinomial law	es_ES
dc.title	On the uniqueness conjecture for the maximum Stirling numbers of the second kind	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.type.version	info:eu-repo/semantics/acceptedVersion	es_ES