2 problems

Degree-two rationality conjecture. The series $Z_{d=2}^{\mathbb P^2}(q)$ is the Laurent expansion of a rational function in $q$. The claim is supported only by interpolation and th…

Let $S_t$ be a parametric Presburger family, meaning a family of subsets of $\mathbb{N}^d$ definable over the natural numbers using quantifiers, boolean operations, and inequalitie…