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초록
We obtain effective asymptotics for the coefficients of q-expansions which involve partial theta functions. As applications, we obtain effective asymptotics for ranks, and cranks of integer partitions. Moreover, from these effective estimates, we obtain asymptotic inequalities among them with effective lower bounds. (C) 2014 Elsevier B.V. All rights reserved.
키워드
Partial theta function; Asymptotics; Effective bound; Partitions; Crank; Rank; PARTITION; INEQUALITIES; FORMULAS; CRANK; RANKS
- 제목
- Asymptotics for q-expansions involving partial theta functions
- 저자
- Kim, Byungchan; Kim, Eunmi; Seo, Jeehyeon
- 발행일
- 2015-02
- 유형
- Article
- 권
- 338
- 호
- 2
- 페이지
- 180 ~ 189