2 problems

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

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…