Ji-Cai Liu, College of Mathematics and Information Science, Wenzhou University, 276 Xueyuan Middle Road, Wenzhou, 325027, Zhejiang, P. R. China, e-mail: email@example.com
Abstract: Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.
Keywords: $q$-binomial coefficient; $q$-binomial theorem; pentagonal number theorem
Classification (MSC 2010): 05A17, 11B65
Full text available as PDF.
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