2 problems

For $x>0$ and steepness parameter $\kappa>0$, define the smooth divisor-sum indicator by … For each odd prime $p\ge 3$, the asymmetric companion-zero conjecture. For sufficiently l…

For a prime $p$, a companion zero at $p$ is a real zero $x\neq p$ of a smooth prime indicator with $|x-p|<1$. A family $x_p^{(\pm)}(\kappa)$ is a prime-zero approximant if…