{"schema":"vela.problem-packet.v0.1","problem":967,"statement":"Let $1<a_1<\\cdots $ be a sequence of integers such that $\\sum\\frac{1}{a_i}<\\infty$. Is it true that, for every $t\\in \\mathbb{R}$,\\[1+\\sum_{k}\\frac{1}{a_k^{1+it}}\\neq 0?\\]","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)"}