Hui-Li Han

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math.NT2025

On some conjectural supercongruences involving the sequence $t_{n} (x)$

Hui-Li Han, Chen Wang

In this paper, we study some supercongruences involving the sequence $t_{n} (x) = k = 0 \sum n (k n) (k x) (k x + k) 2^{k}$ and solve some open problems. For any odd pr…

math.NT2024

Supercongruences involving binomial coefficients and Euler polynomials

Chen Wang, Hui-Li Han

Let $p$ be an odd prime and let $x$ be a $p$ -adic integer. In this paper, we establish supercongruences for $$ \sum_{k=0}^{p-1}\frac{\binom{x}{k}\binom{x+k}{k}(-4)^k}{(dk+1)\binom{…

On some conjectural supercongruences involving the sequence tn​(x)

Supercongruences involving binomial coefficients and Euler polynomials

On some conjectural supercongruences involving the sequence $t_{n} (x)$