He-Xia Ni

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20182026

most citedTwo

q

-supercongruences from Watson's transformation

2 citations · 4 across the 11 of their papers we have counts for

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Showing 2021 · math.NTShow all

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math.NT2021

Some $q$ -congruences involving central $q$ -binomial coefficients

He-Xia Ni

Suppose that $p$ is an odd prime and $m$ is an integer not divisible by $p$ . Sun and Tauraso [Adv. in Appl. Math., 45(2010), 125--148] gave $\sum_{k = 0}^{n - 1} (k + d 2 k) / m^{k}$ an…

math.NT2021

$q$ -Supercongruences from transformation formulas

He-Xia Ni, Li-Yuan Wang, Hai-Liang Wu

Let $Φ_{n} (q)$ denote the $n$ -th cyclotomic polynomial in $q$ . Recently, Guo and Schlosser [Constr. Approx. 53 (2021), 155--200] put forward the following conjecture: for an odd in…

math.NT2021

A conjecture of Zhi-Wei Sun on determinants over finite fields

Hai-Liang Wu, Yue-Feng She, He-Xia Ni

In this paper, we study certain determinants over finite fields. Let $F_{q}$ be the finite field of $q$ elements and let $a_{1}, a_{2}, \dots, a_{q - 1}$ be all nonzero elements of…

Some q-congruences involving central q-binomial coefficients

q-Supercongruences from transformation formulas

A conjecture of Zhi-Wei Sun on determinants over finite fields

Some $q$ -congruences involving central $q$ -binomial coefficients

$q$ -Supercongruences from transformation formulas