INEQUALITIES AND UNIFORM ASYMPTOTIC FORMULAE FOR SPT-CRANK OF PARTITIONS

被引：0
作者：
Chen, Yuan [1 ]
Zhou, Nian Hong [1 ]
机构：
[1] Guangxi Normal Univ, Sch Math & Stat, Guilin, Guangxi, Peoples R China
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2024年
关键词：
integer partitions; spt-crank; uniform asymptotics;
D O I：
10.1017/S0004972724000455
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish some inequalities that arise from truncating Lerch sums and derive uniform asymptotic formulae for the spt-crank of ordinary partitions. The uniform asymptotic formulae improve upon a result of Mao ['Asymptotic formulas for spt-crank of partitions', J. Math. Anal. Appl. 460(1) (2018), 121-139].
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页数：12
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