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| 摘要: |
| 本文研究了mock theta函数对应的Hecke型双重和的问题.利用Bailey对的方法,获得了三个与七阶和十阶mock theta函数相关的等式和两个新的与三阶mock theta函数相关的Hecke型双重和. |
| 关键词: mock theta函数 Hecke型双重和 Bailey对 q-级数 |
| DOI： |
| 分类号:O173 |
| 基金项目:Supported by National Natural Science Foundation of China (11871258); the Young Backbone Teachers in Henan Province (2020GGJS194); the Young Backbone Teachers in Luoyang Normal College (2019XJGGJS-10). |
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| HECKE-TYPE DOUBLE SUMS AS MOCK THETA FUNCTIONS |
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YANG Ji-zhen,SONG Han-fei,ZHANG Zhi-zheng
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| Abstract: |
| The main purpose of this paper is to present Hecke-type double sums associated with mock theta functions. By using the method of Bailey pairs, we obtain three known identities for the seventh and tenth order mock theta functions and two new Hecke-type double sums as third order mock theta functions. |
| Key words: mock theta functions Hecke-type double sums Bailey pairs q-series |
