2 problems

Let $f$) be a periodic function on $\mathbb{T}^2$, let $\hat{f}$ be its Fourier transform, and for a sufficiently large integer $N$ and $p\geq 2$ define $A_{p,N}$ as the best const…

Let $ncge 2$ and $clambdacge 1$ be integers, set $N=[clambda^{1/2}]+1$, and define … For $1cle p,qclecinfty$, let … where $e(z)=e^{2cpi i z}$. Discrete restriction conjecture. For…