A probabilistic proof of the Andrews脙脙脙脙脙脙Gordon identities

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• 作者：Chapman ; Robin
• 关键词：Formula Not Shown -series ; Markov chain ; Rogers脙脙脙脙脙脙Ramanujan identities
• 刊名：Discrete Mathematics
• 出版年：2005
• 期刊代码：47_0012365x
• 类别：cp
• 出版时间：January 28, 2005
• 卷：290
• 期：1
• 页码：79-84
• 文件大小：153 K

摘要

Recently, Fulman proved the “extreme” cases of the Andrews–Gordon identities using a Markov chain on the non-negative integers. Here we extend Fulman's methods to prove the Andrews–Gordon identities in full generality.