2 problems

H. Cohn's conjecture. Then $f$ is a multiplicative character on $\mathbb{F}_p$. This problem is still open in the finite-field setting; partial results are known, but the conjectur…

Let $r\geq 1$, let $n_1,\ldots,n_r\in\mathbb{N}$, and let $k_1,\ldots,k_r\in\{1,2\}$, with the $k_i$ not all even. Then … as $N\to\infty$. Chowla's conjecture. The displayed asympt…