118138 20230519145520.0 doi 10.1007/s00025-021-01393-7 sideral 126629 ART-2021-126629 eng Adell J.A. Universidad de Zaragoza (orcid)0000-0001-8331-5160 On the Uniqueness Conjecture for the Maximum Stirling Numbers of the Second Kind 2021 Access copy available to the general public Unrestricted 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). © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG. info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.214 2021 MATHEMATICS, APPLIED 60 / 267 = 0.225 2021 Q1 T1 MATHEMATICS 27 / 333 = 0.081 2021 Q1 T1 0.74 2021 Mathematics (miscellaneous) 2021 Q1 Applied Mathematics 2021 Q1 2.0 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Cárdenas-Morales D. 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 76, 2 (2021), [8 pp] Results in Mathematics Results in Mathematics 1422-6383 56624 http://zaguan.unizar.es/record/118138/files/texto_completo.pdf Postprint 946465 http://zaguan.unizar.es/record/118138/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:118138 articulos driver 2023-05-18-15:22:00 ARTICLE