{"schema":"vela.problem-packet.v0.1","problem":1116,"statement":"For a meromorphic function $f$ let $n(r,a)$ count the number of roots of $f(z)=a$ in the disc $\\lvert z\\rvert <r$. Does there exist a meromorphic (or entire) $f$ such that for every $a\\neq b$\\[\\limsup_{r\\to \\infty}\\frac{n(r,a)}{n(r,b)}=\\infty?\\]","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)"}