3 problems

Exponent pair conjecture. Every point in this triangle is an exponent pair. In particular, $(0,1/2)$ is an exponent pair. Moreover,

Let $r\geq 1$ be real and let an exponent pair $(k,\ell)$ mean an exponent pair in the standard sense. Exponent-pair approximation conjecture. For every real $\varepsilon>0$, there…

Let $r\geq 2$ be an integer. Let $f$ be given by the paper's definition in, with $h$ satisfying $|h(d)|\ll d^\alpha$ for some $\alpha\in[0,\frac{1}{2r-1}]$, and let $C_f$ be the co…