Some finite generalizations of Euler’s pentagonal number theorem
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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.
Keywordsq-binomial coefficient q-binomial theorem pentagonal number theorem
MSC 201005A17 11B65
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