In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also holds for the first rank and crank moments of overpartitions and consider a new combinatorial interpretation in this setting.Accepted versio
Andrews, Garvan and Liang introduced the spt-crank for vector partitions. We conjecture that for any...
Abstract. Bringmann and Dousse recently established a conjecture of Dyson dealing with the limiting ...
Graduation date: 2017We generalize overpartition rank and crank generating functions to obtain k-fo...
In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. The...
Abstract. In recent work, Andrews, Chan, and Kim extend a result of Gar-van about even rank and cran...
Abstract. Higher moments of the partition rank and crank statistics have been studied for their conn...
AbstractIn this paper, we modify the standard definition of moments of ranks and cranks such that od...
In this paper, we modify the standard definition of moments of ranks and cranks such that odd moment...
Higher moments of the partition rank and crank statistics have been studied for their connections to...
We study two types of crank moments and two types of rank moments for overpartitions. We show that t...
AbstractWe study two types of crank moments and two types of rank moments for overpartitions. We sho...
Asymptotic formulas for the positive moments of rank and crank of partitions were obtained by K. Bri...
Atkin and Garvan introduced the moments of ranks of partitions in their work connecting ranks and cr...
AbstractAndrewsʼ spt-function can be written as the difference between the second symmetrized crank ...
AbstractGarvan first defined certain “vector partitions” and assigned to each such partition a “rank...
Andrews, Garvan and Liang introduced the spt-crank for vector partitions. We conjecture that for any...
Abstract. Bringmann and Dousse recently established a conjecture of Dyson dealing with the limiting ...
Graduation date: 2017We generalize overpartition rank and crank generating functions to obtain k-fo...
In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. The...
Abstract. In recent work, Andrews, Chan, and Kim extend a result of Gar-van about even rank and cran...
Abstract. Higher moments of the partition rank and crank statistics have been studied for their conn...
AbstractIn this paper, we modify the standard definition of moments of ranks and cranks such that od...
In this paper, we modify the standard definition of moments of ranks and cranks such that odd moment...
Higher moments of the partition rank and crank statistics have been studied for their connections to...
We study two types of crank moments and two types of rank moments for overpartitions. We show that t...
AbstractWe study two types of crank moments and two types of rank moments for overpartitions. We sho...
Asymptotic formulas for the positive moments of rank and crank of partitions were obtained by K. Bri...
Atkin and Garvan introduced the moments of ranks of partitions in their work connecting ranks and cr...
AbstractAndrewsʼ spt-function can be written as the difference between the second symmetrized crank ...
AbstractGarvan first defined certain “vector partitions” and assigned to each such partition a “rank...
Andrews, Garvan and Liang introduced the spt-crank for vector partitions. We conjecture that for any...
Abstract. Bringmann and Dousse recently established a conjecture of Dyson dealing with the limiting ...
Graduation date: 2017We generalize overpartition rank and crank generating functions to obtain k-fo...
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