- ID
- 2610.20691
- 分类
- —
- 首次捕获
- 2026-10-16
- 状态
- unread
- 作者
- Zhi-Wei Sun
- 信号
- SI 49
信号历史
- 2026-10-16Scholar Inbox · 相关分 49
暂无信号数据
摘要
Recently, Hilbert's Tenth Problem over the field $\mathbb Q$ of rational numbers was solved negatively by OpenAI based on a five-contact height estimate and a pole-parity construction. In this paper, we prove further that there is no algorithm to decide for any polynomial $f(x_1,\ldots,x_{86})$ with integer coefficients whether the equation $f(x_1,\ldots,x_{86})=0$ has solutions with $x_1,\ldots,x_{86}\in\mathbb Q$.