5 problems

Let $f(x)$ be a globally bounded D-finite series, meaning a D-finite series with positive radius of convergence that can be reduced modulo almost all primes. A multivariate power s…

Let … be a Baumslag–Solitar group, with cogrowth series formed using the generating set $\{a^{\pm1},t^{\pm1}\}$. Baumslag–Solitar non-D-finiteness conjecture. If $M\neq N$, then th…

Let $f(x)\in\mathbb{Q}[[x]]$ be a $D$-finite series and let $n$ be the minimal order of a differential operator that annihilates $f(x)$. Let $K$ be a number field and let…

Let $k$ be the coefficient field and let … be a D-finite power series. A subset of $\mathbb{N}$ is a Skolem set if it is a union of finitely many arithmetic progressions. Rubel's c…

Garrabant72Pak conjecture. The sequence $p_{G,S}(n)$ is not $P$-recursive.