Breakthrough Tracker record
A claimed universal residue formula for Witten zeta functions
The paper claims a universal formula for the leading residue of a normalized Witten zeta function and says this establishes Au’s gamma-product-shape conjecture, including the A4 prediction.
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- Stable ID
math-witten-zeta-au-conjecture-2026- Revision
math-witten-zeta-au-conjecture-2026.v2- Field
- Mathematics · Representation theory and number theory
- Evidence
- Tier 1 · Peer reviewed: No
- Record state
- Provisional · AI-generated provisional proof claim
- Last checked
AI role
The manuscript states that Codex GPT-5.6 Sol Ultra generated the derivations, proofs, exposition, code and publication materials; ChatGPT Pro and Mathematica were used in the same workflow. The named human reports independent checking and accepts responsibility.
Record details
- Problem or result
- Au’s gamma-product-shape conjecture for irreducible crystallographic root systems
- Authors
- Jonas Matuzas
- Institutions
- No institutional affiliation stated in the manuscript
- Result date
- Preprint submitted July 14; third version posted August 3, 2026
Why it matters
A uniform formula across all irreducible crystallographic root systems would connect representation growth with Coxeter and special-function identities.
Limits
This is a third-version but unreviewed preprint whose mathematical content was generated in an AI workflow. The manuscript now reports independent numerical corroboration of selected identities, but describes those checks as partial, non-rigorous evidence rather than proof. No independent specialist assessment or formal verification was located.
Sources
Correction and revision history
- 2026-07-23 — Prepared as a provisional tracker addition with the unusually extensive AI authorship and absence of independent assessment prominently disclosed.
- 2026-08-08 — Reviewed v3 and recorded its partial independent numerical corroboration without treating that evidence as proof; status remains provisional.
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