{"schema":"vela.problem-packet.v0.1","problem":516,"statement":"Let $f(z)=\\sum_{k\\geq 1}a_k z^{n_k}$ be an entire function of finite order such that $\\lim n_k/k=\\infty$. Let $M(r)=\\max_{\\lvert z\\rvert=r}\\lvert f(z)\\rvert$ and $m(r)=\\min_{\\lvert z\\rvert=r}\\lvert f(z)\\rvert$. Is it true that\\[\\limsup\\frac{\\log m(r)}{\\log M(r)}=1?\\]","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)"}