4 problems

Modular-inverse asymptotic conjecture.

Let $v(n)$ be the number of vertices of the convex hull associated with the graph of modular inversions modulo $n$, and let $\tau$ be the divisor-counting function. Congruence conj…

Let $v(n)$ denote the number of vertices of the convex hull associated with the graph of modular inversions modulo $n$, and let $\tau$ denote the divisor-counting function. Diverge…

Let $M(n)$ be the maximum of $|a-b|$ over integers $a,b$ with $1\leq a,b\leq n-1$ and $ab\equiv 1\pmod n$. Let $\delta=1-(1+\log\log 2)/\log 2$. The function $g$ is any function te…