{"schema":"vela.problem-packet.v0.1","problem":229,"statement":"Let $(S_n)_{n\\geq 1}$ be a sequence of sets of complex numbers, none of which have a finite limit point. Does there exist an entire transcendental function $f(z)$ such that, for all $n\\geq 1$, there exists some $k_n\\geq 0$ such that\\[f^{(k_n)}(z) = 0\\textrm{ for all }z\\in S_n?\\]","status":"solved","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}