Year: 2026
Type: preprint
Abstract: 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 $P(x_1,\ldots,x_{86})$ with integer coefficients whether the equation $P(x_1,\ldots,x_{86})=0$ has solutions with $x_1,\ldots,x_{86}\in\mathbb Q$.
Source: arXiv (Cornell University)
Author: Sun, Zhi-Wei
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G4303778005
OpenAlex ID: W7222500688