The 5-dissections of two infinite product expansions

被引：14
|
作者：
Dou, Donna Q. J. [1 ]
Xiao, Jiejuan [2 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China
[2] Jimei Univ, Sch Sci, Xiamen 361021, Peoples R China
来源：
RAMANUJAN JOURNAL | 2021年 / 54卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Power series expansion; Dissection; Vanishing coefficients; Periodicity of signs of coefficients; CONTINUED-FRACTION; COEFFICIENTS;
D O I：
10.1007/s11139-019-00200-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish 5-dissections of two infinite products and thereby prove that their q-series coefficients vanish for two arithmetic progressions. Moreover, our results also imply that the signs of coefficients of these infinite products are periodic with period 5 from n > 1.
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页码：475 / 484
页数：10
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