5 problems

Rational integrability conjecture. The function $f$ is rationally integrable with respect to $x_1,\ldots,x_m$ if and only if $n\neq m$. This extends the discussion of rational inte…

Rationality classification conjecture. The integral

Let $T$ be a minimal-order telescoper for an integral … where $a$ is algebraic in $x$ and $h$. Finiteness conjecture. If the Galois group of $T$ is virtually solvable, then it is f…

Elementary-integrability Skolem-set conjecture. The set $E_f$ is a Skolem set, that is, a union of finitely many arithmetic progressions. The source presents this as a proposed sta…

Let $\overline{\mathbb{C}(x)}$ be an algebraic closure of $\mathbb{C}(x)$, equipped with the derivation $d/dx$. An algebraic function is stable if its iterated formal integrals eve…