4 problems

Dwork's p-adic hypergeometric inversion conjecture.

Parity-corrected Dwork inversion conjecture. For an odd prime $p$,

Let $\sigma(t)=ct^p$ and $\widehat{\sigma}(t)=c^{-1}t^p$. Let $a\in\mathbb{Z}_p\backslash\mathbb{Z}_{\leq 0}$, and suppose that the $r$th Dwork prime satisfies $a^{(r)}=a$ for some…

Let $d$ be an odd prime, let $p$ be a prime such that $p\not\equiv 1 \pmod{d}$, and let … be the Dwork hypersurface over $\mathbb{F}_p$. Write…