2 problems

Even-dimensional Dwork point count conjecture. The number of points over $\mathbb F_q$ on the Dwork hypersurface can be expressed as

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…