{"schema":"vela.problem-packet.v0.1","problem":1117,"statement":"Let $f(z)$ be an entire function which is not a monomial. Let $\\nu(r)$ count the number of $z$ with $\\lvert z\\rvert=r$ such that $\\lvert f(z)\\rvert=\\max_{\\lvert z\\rvert=r}\\lvert f(z)\\rvert$. (This is a finite quantity if $f$ is not a monomial.)Is it possible for\\[\\limsup \\nu(r)=\\infty?\\]Is it possible for\\[\\liminf \\nu(r)=\\infty?\\]","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)"}