{"schema":"vela.problem-packet.v0.1","problem":906,"statement":"Is there an entire non-zero function $f:\\mathbb{C}\\to \\mathbb{C}$ such that, for any infinite sequence $n_1<n_2<\\cdots$, the set\\[\\{ z: f^{(n_k)}(z)=0 \\textrm{ for some }k\\geq 1\\}\\]is everywhere dense?","status":"open","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)"}