Turán inequalities for the broken k-diamond partition functions

We obtain an asymptotic formula for Andrews and Paule’s broken k -diamond partition function Δ k ( n ) , where k = 1 or 2. Based on this asymptotic formula, we derive that Δ k ( n ) satisfies the order d Turán inequalities for d ≥ 1 and for sufficiently large n when k = 1 or 2 by using a general res...

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Veröffentlicht in:	The Ramanujan journal 2023-10, Vol.62 (2), p.593-615
Hauptverfasser:	Dong, Janet J. W., Ji, Kathy Q., Jia, Dennis X. Q.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Combinatorics Diamonds Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Inequalities Mathematics Mathematics and Statistics Number Theory Partitions (mathematics)
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