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Parity bias for the partitions with bounded number of appearances of the part of size 1
- Title
- Parity bias for the partitions with bounded number of appearances of the part of size 1
- Authors
- Kim; Byungchan; Eunmi
- Ewha Authors
- 김은미
- SCOPUS Author ID
- 김은미
- Issue Date
- 2024
- Journal Title
- Ramanujan Journal
- ISSN
- 1382-4090
- Citation
- Ramanujan Journal vol. 63, no. 3, pp. 657 - 671
- Keywords
- 11P81; Asymptotic formula; Integer partition; Parity bias; Partition injection; Primary 05A17
- Publisher
- Springer
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- While there are more partitions of n having more odd parts than even parts compared to partitions having more even parts than odd parts, we show that if there is a limit on the number of appearances of the part of size 1, there will eventually be more partitions of n with more even parts than odd parts compared to partitions with more odd parts than even parts. To demonstrate this, we obtain the asymptotic formulas for related partition functions via a Tauberian theorem, q-series manipulations, and partition combinatorics. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023.
- DOI
- 10.1007/s11139-023-00775-5
- Appears in Collections:
- 연구기관 > 수리과학연구소 > Journal papers
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