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A Universal Leading-Residue Formula for Witten Zeta Functions

For an irreducible crystallographic root system of rank $r$ with Coxeter number $h$, the paper proves that Au's normalized Witten zeta function has a simple pole at $2/h$ and evaluates its residue in closed form in terms of the Cartan determinant, the Weyl group order and the invariant degrees.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Jul 14, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: A Universal Leading-Residue Formula for Witten Zeta Functions · Witten zeta residue

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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VibeMathed
registry · event recorded by

Jonas Matuzas
human · human collaborator

GPT-5.6 Sol via Codex
model · ai model contributor · OpenAI

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This event attributed to Jonas Matuzas

This event attributed to GPT-5.6 Sol via Codex

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