2 citations · 4 across the 4 of their papers we have counts for
6 papers
Some -congruences involving central -binomial coefficients
He-Xia Ni
Suppose that is an odd prime and is an integer not divisible by . Sun and Tauraso [Adv. in Appl. Math., 45(2010), 125--148] gave an…
-Supercongruences from transformation formulas
He-Xia Ni, Li-Yuan Wang, Hai-Liang Wu
Let denote the -th cyclotomic polynomial in . Recently, Guo and Schlosser [Constr. Approx. 53 (2021), 155--200] put forward the following conjecture: for an odd in…
Two -supercongruences from Watson's transformation
He-Xia Ni, Li-Yuan Wang
Guo and Zudilin [Adv. Math. 346 (2019), 329--358] introduced a new method called `creative microscoping', to prove many -supercongruences in a unified way. In this paper, we app…
Supercongruences for Almkvist--Zudilin sequences
Ji-Cai Liu, He-Xia Ni
In this note, we prove two supercongruences involving Almkvist--Zudilin sequences, which were originally conjectured by Z.-H. Sun.
Some -congruences arising from certain identities
Chen Wang, He-Xia Ni
In this paper, by constructing some identities, we prove some -analogues of some congruences. For example, for any odd integer , we show that \begin{gather*} \sum_{k=0}^{n-…
Divisibility of some binomial sums
He-Xia Ni, Hao Pan
With help of -congruence, we prove the divisibility of some binomial sums. For example, for any integers , $$\sum_{k=0}^{n-1}(4k+1) \binom{2k}{k}^ρ\cdot (-4)^{ρ(n-1-k…