论文标题
多和ROGERS-RAMANUJAN类型身份
Multi-sum Rogers-Ramanujan Type Identities
论文作者
论文摘要
我们使用一种积分方法来建立许多涉及双重和三重总和的Rogers-Ramanujan类型身份。证明这种身份的关键步骤是找到一些无限的产品,其在合适轮廓上的积分仍然是无限的产品。 Rosengren的Kanade-Russell身份证明了此处使用的方法。
We use an integral method to establish a number of Rogers-Ramanujan type identities involving double and triple sums. The key step for proving such identities is to find some infinite products whose integrals over suitable contours are still infinite products. The method used here is motivated by Rosengren's proof of the Kanade-Russell identities.