2 problems

Let $r=s+p^t(p-1)d$, with $p mid d$, $s=b+c(p-1)$, and suppose that $2\leq bleq p$ and $1\leq cleq p-1$. Fix $ap$ such that $1<nu(ap)<p-1$, and let $tnu(ap)+c$. Suppose also that…

Let $r=s+p^t(p-1)d$, with $p mid d$, $s=b+c(p-1)$, and suppose that $2\leq bleq p$, $1\leq cleq p-1$, and $tgeq 2$. Let … where the coefficients $\alpha(i,l)$ are those defined in th…