Truncated Hecke-Rogers type series

被引：31

作者：

Wang, Chun ^{[1
,2
]}

Yee, Ae Ja ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200284, Peoples R China

[2] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

ADVANCES IN MATHEMATICS | 2020年 / 365卷

关键词：

Theta functions; Truncated series; Euler's pentagonal number theorem; Gauss's identities; CUBIC CONTINUED-FRACTION;

D O I：

10.1016/j.aim.2020.107051

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The recent work of George Andrews and Mircea Merca on the truncated version of Euler's pentagonal number theorem has opened up a new study on truncated theta series. Since then several papers on the topic have followed. The main purpose of this paper is to generalize the study to HeckeRogers type double series, which are associated with some interesting partition functions. Our proofs heavily rely on a formula from the work of Zhi-Guo Liu on the q-partial differential equations and q-series. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：19

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