Vanishing coefficients and identities concerning Ramanujan’s parameters

被引：0
|
作者：
Shane Chern
Dazhao Tang
机构：
[1] Penn State University,Department of Mathematics
[2] Tianjin University,Center for Applied Mathematics
来源：
The Ramanujan Journal | 2022年 / 57卷
关键词：
Vanishing coefficients; Rogers–Ramanujan continued fraction; Ramanujan’s parameters; Ramanujan’s Lost Notebook; 11F27; 30B10;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper we investigate several infinite products with vanishing Taylor coefficients in arithmetic progressions. These infinite products are closely related to Ramanujan’s parameters introduced in his Lost Notebook. Also, a handful of new identities involving these parameters will be established.
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页码：1367 / 1385
页数：18
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