4 problems

Let $p\ge 5$ be a prime, and let $\\{u_n\\}_{n\ge 0}$ be one of the sequences $\mathbf{B}$ and $\mathbf{F}$, defined by … or … Here $\left(\frac{p}{3}\right)$ is the Legendre symbo…

Class 3C Apéry-like conjecture.

Apéry-like supersingular-polynomial conjecture. For every prime $p\geq7$,

Let … and write its Taylor expansion as … This is the Askey–Gasper rational function. Askey–Gasper coefficient supercongruence. For every prime $p\geqslant 5$ and integer…