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초록
BG-ranks and GBG-ranks, introduced by Berkovich and Garvan, are combinatorial statistics that have been used to prove some partition congruences and refinements. In this paper, we give a thorough study on these statistics and obtain formulas for the GBG-rank generating functions for ordinary partitions, self-conjugate partitions, and doubled distinct partitions.
키워드
Partition ranks; Cranks; BG-ranks; GBG-ranks; Self-conjugate partitions; Doubled distinct partitions; CRANK
- 제목
- GBG-rank generating functions for ordinary, self-conjugate, and doubled distinct partitions
- 저자
- Cho, Hyunsoo; Kim, Eunmi; Lee, Ho-Hyeong; Lee, Kyeongjun; Yee, Ae Ja; Yoo, Jaeyeong
- 발행일
- 2025-11-07
- 유형
- Article
- 권
- 68
- 호
- 4