2 problems

Let $A\subset [N]$ be a Sidon set, and for each prime $p$ let $A_p$ denote the set of residue classes modulo $p$ occupied by $A$. Suppose that $|A_p|\leq \alpha p$ for every prime…

Quadratic-progression parity conjecture. The theorem that both parities occur infinitely often among these values, with $(m,6)=1$, should hold for all square-free $D$ satisfying…