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BIASES IN INTEGER PARTITIONS
- Title
- BIASES IN INTEGER PARTITIONS
- Authors
- Kim, Byungchan; Kim, Eunmi
- Ewha Authors
- 김은미
- SCOPUS Author ID
- 김은미
- Issue Date
- 2021
- Journal Title
- BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
- ISSN
- 0004-9727
1755-1633
- Citation
- BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY vol. 104, no. 2, pp. 177 - 186
- Keywords
- asymptotic formula; bias; partition
- Publisher
- CAMBRIDGE UNIV PRESS
- Indexed
- SCIE; SCOPUS
- Document Type
- Article
- Abstract
- We show that there are biases in the number of appearances of the parts in two residue classes in the set of ordinary partitions. More precisely, let p(j,k,m)(n) be the number of partitions of n such that there are more parts congruent to j modulo m than parts congruent to k modulo m for m >= 2. We prove that p(1,0,m)(n) is in general larger than p(0,)(1,m)(n). We also obtain asymptotic formulas for p(1,0,m)(n) and p(0,)(1,m)(n) for m >= 2.
- DOI
- 10.1017/S0004972720001495
- Appears in Collections:
- 연구기관 > 수리과학연구소 > Journal papers
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