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Some finite generalizations of Euler's pentagonal number theorem
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 525-531 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2017.0063-16
Classification : 05A17, 11B65
Keywords: $q$-binomial coefficient; $q$-binomial theorem; pentagonal number theorem 
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Liu, Ji-Cai. Some finite generalizations of Euler's pentagonal number theorem. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 525-531. doi: 10.21136/CMJ.2017.0063-16

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