7 problems

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…

Exponent-pair conjecture. The pair

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

Exponent pair hypothesis. One should have

An exponent pair is a pair $(\kappa,\lambda)$ satisfying the standard exponent-pair estimates for exponential sums. Exponent-pair folklore conjecture. For every fixed $\epsilon>0$,…

Exponent pair conjecture. For every $\varepsilon>0$, $(\varepsilon,\frac{1}{2}+\varepsilon)$ is an exponent pair. This conjecture predicts exponent-pair bounds approaching the conj…

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…