Congruences on sums of q-binomial coefficients

We establish a q-analogue of Sun–Zhao's congruence on harmonic sums. Based on this q-congruence and a q-series identity, we prove a congruence conjecture on sums of central q-binomial coefficients, which was recently proposed by Guo. We also deduce a q-analogue of a congruence due to Apagodu an...

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Veröffentlicht in:	Advances in applied mathematics 2020-05, Vol.116, p.102003, Article 102003
Hauptverfasser:	Liu, Ji-Cai, Petrov, Fedor
Format:	Artikel
Sprache:	eng
Schlagworte:	Cyclotomic polynomials Mathematics Mathematics, Applied Physical Sciences q-Binomial coefficients q-Congruences Science & Technology
Online-Zugang:	Volltext
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