Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4647231 | Discrete Mathematics | 2015 | 10 Pages |
Abstract
We obtain effective asymptotics for the coefficients of qq-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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Byungchan Kim, Eunmi Kim, Jeehyeon Seo,