Geodesic
Some finite generalizations of Euler's pentagonal number theorem
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 2, pp. 525-531.

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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.
DOI : 10.21136/CMJ.2017.0063-16
Classification : 05A17, 11B65
Keywords: $q$-binomial coefficient; $q$-binomial theorem; pentagonal number theorem 
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     title = {Some finite generalizations of {Euler's} 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. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0063-16/

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