{"schema":"vela.problem-packet.v0.1","problem":514,"statement":"Let $f(z)$ be an entire transcendental function. Does there exist a path $L$ so that, for every $n$,\\[\\lvert f(z)/z^n\\rvert \\to \\infty\\]as $z\\to \\infty$ along $L$?Can the length of this path be estimated in terms of $M(r)=\\max_{\\lvert z\\rvert=r}\\lvert f(z)\\rvert$? Does there exist a path along which $\\lvert f(z)\\rvert$ tends to $\\infty$ faster than a fixed function of $M(r)$ (such that $M(r)^\\epsilon$)?","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)"}