论文标题
在与罗杰斯有关的几个$ q $ seplastions中消失的系数 - 罗曼尼(Ramanujan)继续分数
Vanishing coefficients in several $q$-series expansions related to the Rogers--Ramanujan continued fraction
论文作者
论文摘要
在本文中,我们调查了几种无限的产品,其在芳族过程中消失了泰勒系数。这些无限的产品与罗杰斯(Rogers)密切相关 - 拉马努扬(Ramanujan)继续分数。此外,将建立涉及Ramanujan参数的一些新身份。
In this paper, we investigate several infinite products with vanishing Taylor coefficients in arihmetic progressions. These infinite products are closely related to the Rogers--Ramanujan continued fraction. Moreover, a handful of new identities involving Ramanujan's parameters will be established.