000118138 001__ 118138
000118138 005__ 20230519145520.0
000118138 0247_ $$2doi$$a10.1007/s00025-021-01393-7
000118138 0248_ $$2sideral$$a126629
000118138 037__ $$aART-2021-126629
000118138 041__ $$aeng
000118138 100__ $$0(orcid)0000-0001-8331-5160$$aAdell J.A.$$uUniversidad de Zaragoza
000118138 245__ $$aOn the Uniqueness Conjecture for the Maximum Stirling Numbers of the Second Kind
000118138 260__ $$c2021
000118138 5060_ $$aAccess copy available to the general public$$fUnrestricted
000118138 5203_ $$aThe 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.
000118138 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000118138 592__ $$a0.74$$b2021
000118138 590__ $$a2.214$$b2021
000118138 593__ $$aMathematics (miscellaneous)$$c2021$$dQ1
000118138 591__ $$aMATHEMATICS, APPLIED$$b60 / 267 = 0.225$$c2021$$dQ1$$eT1
000118138 593__ $$aApplied Mathematics$$c2021$$dQ1
000118138 591__ $$aMATHEMATICS$$b27 / 333 = 0.081$$c2021$$dQ1$$eT1
000118138 594__ $$a2.0$$b2021
000118138 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000118138 700__ $$aCárdenas-Morales D.
000118138 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera.
000118138 773__ $$g76, 2 (2021), [8 pp]$$pResults in Mathematics$$tResults in Mathematics$$x1422-6383
000118138 8564_ $$s56624$$uhttps://zaguan.unizar.es/record/118138/files/texto_completo.pdf$$yPostprint
000118138 8564_ $$s946465$$uhttps://zaguan.unizar.es/record/118138/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000118138 909CO $$ooai:zaguan.unizar.es:118138$$particulos$$pdriver
000118138 951__ $$a2023-05-18-15:22:00
000118138 980__ $$aARTICLE