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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.5
- 수록면
- 621 - 635 (15page)
- DOI
- 10.4134/BKMS.b230269
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초록· 키워드
오류제보하기
An $l$-regular overpartition of $n$ is an overpartition of $n$ with no parts divisible by $l$. Recently, the authors introduced a partition statistic called $r_l$-crank of $l$-regular overpartitions. Let $M_{r_l}(m,n)$ denote the number of $l$-regular overpartitions of $n$ with $r_l$-crank $m$. In this paper, we investigate the monotonicity property and the unimodality of $M_{r_3}(m,n)$. We prove that $M_{r_3}(m,n)\geq M_{r_3}(m,n-1)$ for any integers $m$ and $n \geq 6$ and the sequence $\{M_{r_3}(m,n)\}_{|m|\leq n}$ is unimodal for all $n\geq 14$.
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