3 problems

Recursive-tower optimality conjecture. For $m>1$, this bound may be the best possible lower bound on $A(p^m)$ obtainable with recursively defined towers of function fields over…

The $A(8)=3/2$ conjecture. It is conjectured that

Let $p$ be a prime number, let $2t\geq 4$ be even, and put $q=p^{2t}$. Let $A'_r(q)$ denote the relevant dense-family asymptotic invariant. Prime-field descent conjecture. … Equiva…