Answers are grounded in this paper and cite their sources.
Mathematical analysis reveals a degree-8 rational polynomial with a nonmonotone real-rootedness set under symmetric imaginary shifts, highlighting structural complexity in root-preservation domains.
AI Research Artifact. This work presents an exact rational degree-8 polynomial whose symmetric imaginary-shift real-rootedness set is neither an interval nor an up-set. The explicit witness and candidate proof were materially model-generated. Version 0.1.3 replaces mental-state and submission-decision wording with action-based authorship and accountability language and aligns Zenodo and arXiv metadata. The theorem statement, proof arguments, polynomial, and exact certificates are unchanged from version 0.1.2.
No takes yet. Share an insight, caveat, or question.
Vasily Stodolsky (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: