Real-rootedness conjecture for toric g-contribution polynomials
For every toric -contribution polynomial in the family defined by Ehrenborg, Hetyei, and Readdy, all zeros of are real; equivalently, is real-rooted.
References
Primary source
Additional references
Progress summary
A new unrefereed preprint claims to prove the conjecture, but the result has not yet been independently verified.
Ehrenborg, Hetyei, and Readdy conjectured that the toric -contribution polynomials are real-rooted. Their November 2025 paper reported strong numerical evidence but no proof.
September 1, 2026 claimed proof
A new arXiv preprint claims a proof of the conjecture. The claim is unrefereed and unverified; no independent confirmation or identified gap appears in the retrieved sources.
Current status (as of September 2026): The conjecture is claimed proved by an unrefereed arXiv preprint, but verification is outstanding.
Sources
- arxiv.org
- arxiv.org
- arxiv.org
- symmetricfunctions.com
- igm.univ-mlv.fr
- mathoverflow.net
- semanticscholar.org
- linkedin.com
- openai.com
- escholarship.org
- arxiv.org
- ar5iv.labs.arxiv.org
- arxiv.org
- arxiv.org
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- mathstodon.xyz
- cdn.openai.com
- openai.com
- quantamagazine.org
- quantamagazine.org
Solutions 0
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