Combinatorics of two second-order mock theta functions

被引：2
|
作者：
Burson, Hannah [1 ]
机构：
[1] Univ Minnesota, Sch Math, Vincent Hall,206 Church St SE, Minneapolis, MN 55455 USA
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2021年 / 17卷 / 02期
关键词：
Partitions; mock theta functions; q-series;
D O I：
10.1142/S1793042120400229
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce combinatorial interpretations of the coefficients of two second-order mock theta functions. Then, we provide a bijection that relates the two combinatorial interpretations for each function. By studying other special cases of the multivariate identity proved by the bijection, we obtain new combinatorial interpretations for the coefficients of Watson's third-order mock theta function omega(q) and Ramanujan's third-order mock theta function f(q).
引用
收藏
页码：285 / 295
页数：11
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