{"schema":"vela.problem-packet.v0.1","problem":515,"statement":"Let $f(z)$ be an entire function, not a polynomial. Does there exist a locally rectifiable path $C$ tending to infinity such that, for every $\\lambda>0$, the integral\\[\\int_C \\lvert f(z)\\rvert^{-\\lambda} \\mathrm{d}z\\]is finite?","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)"}