2 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…

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…