5 problems

Refined moment conjecture. As $x\to\infty$,

The third nonlinear gcd conjecture. For sufficiently large $m$,

The first nonlinear gcd conjecture. For sufficiently large $m$,

Let $b\geq 2$ be the fixed integer base. Let $\epsilon>0$, let $k,l$ be positive integers, and let … … be polynomials with real algebraic coefficients, where $a_k$ and $c_l$ are li…

Let $\mathfrak{n}$ and $\mathfrak{m}$ be nonzero ideals chosen independently and uniformly at random from the set of ideals in $\mathbb{Z}[i]$ with norm at most $x$. Write…