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Showing 2019 · math.NTShow all
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math.NT2019
Some supercongruences arising from symbolic summation
Ji-Cai Liu
Based on some combinatorial identities arising from symbolic summation, we extend two supercongruences on partial sums of hypergeometric series, which were originally conjectured b…
math.NT2019
On two supercongruences of double binomial sums
Long Li, Ji-Cai Liu
In this note, we confirm two conjectural supercongruences on double sums of binomial coefficients due to El Bachraoui.
math.NT2019★ 105 cited
Congruences on sums of -binomial coefficients
Ji-Cai Liu, Fedor Petrov
We establish a -analogue of Sun--Zhao's congruence on harmonic sums. Based on this -congruence and a -series identity, we prove a congruence conjecture on sums of central…