On the non-negativity of the spt-crank for partitions without repeated odd parts

JOURNAL OF NUMBER THEORY

卷:190

Article

Mao, Renrong¹ 

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

关键词: Partitions without repeated odd parts;    Spt-crank;    Rank moments;   

DOI  :  10.1016/j.jnt.2018.02.004

来源: Elsevier

【 摘 要 】

In this paper, we establish the non-negativity of the spt-crank for partitions without repeated odd parts which was first conjectured by Garvan and Jennings-Shaffer. As corollaries, we prove inequalities between the positive rank and crank moments of such partitions. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free