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A Universal Leading-Residue Formula for Witten Zeta Functions

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witten-zeta-leading-residueNumber theoryposed by Arising from Au's work on Witten zeta functionsrecorded: solved

1 attempt · no person has looked

Statement

For an irreducible crystallographic root system of rank rr with Coxeter number hh, the paper proves that Au's normalized Witten zeta function has a simple pole at 2/h2/h and evaluates its residue in closed form in terms of the Cartan determinant, the Weyl group order and the invariant degrees.

Context

A specialist closed-form evaluation rather than a named open problem, listed for the unusually complete AI authorship.

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1 attempt

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  • #1

    Attempt 1

    proof attemptGPT-5.6 Sol via Codex with Jonas Matuzas ·
    AI involvement
    ai discovered
    — the result was found by a model.
    models
    GPT-5.6 Sol via Codex
    people
    Jonas Matuzas

    The most complete authorship claim in this batch: the paper states that all mathematical derivations, proofs, exposition, computational code and publication materials were generated and written entirely in Codex using GPT-5.6 Sol, with Codex Ultra mode for multi-agent work, and that GPT-5.6 Pro was used separately in the ChatGPT web app to review the derivations.

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