New $ q $-supercongruences arising from a summation of basic hypergeometric series
<abstract><p>With the help of a summation of basic hypergeometric series, the creative microscoping method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for coprime polynomials, we prove some new $ q $-supercongruences on sums of $ q $-shifted factorials. Especially, we give a $ q $-analogue of a formula due to Liu <sup>[<xref ref-type="bibr" rid="b14">14</xref>]</sup>.</p></abstract>
1986 ◽
Vol 17
(4)
◽
pp. 970-999
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2000 ◽
Vol 210
(1-3)
◽
pp. 151-169
◽