On the Uniqueness Conjecture for the Maximum Stirling Numbers of the Second Kind

Adell J.A. (Universidad de Zaragoza) ; Cárdenas-Morales D.

Resumen: 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.

Idioma: Inglés

DOI: 10.1007/s00025-021-01393-7

Año: 2021

Publicado en: Results in Mathematics 76, 2 (2021), [8 pp]
ISSN: 1422-6383

Factor impacto JCR: 2.214 (2021)

Categ. JCR: MATHEMATICS, APPLIED rank: 60 / 267 = 0.225 (2021) - Q1 - T1
Categ. JCR: MATHEMATICS rank: 27 / 333 = 0.081 (2021) - Q1 - T1

Factor impacto CITESCORE: 2.0 - Mathematics (Q2)

Factor impacto SCIMAGO: 0.74 - Mathematics (miscellaneous) (Q1) - Applied Mathematics (Q1)

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Estadís. Investig. Opera. (Dpto. Métodos Estadísticos)