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Polynomials associated to Lie algebras.arXiv preprint arXiv:2507.00326, 2025

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Vanishing of Witten zeta function at negative integers

math.NT · 2024-12-16 · conditional · novelty 8.0

For every root system, the Witten zeta function vanishes to order at least the rank at negative even integers, and its leading coefficient is a Q-linear combination of Hurwitz zeta values.

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  • Vanishing of Witten zeta function at negative integers math.NT · 2024-12-16 · conditional · none · ref 7

    For every root system, the Witten zeta function vanishes to order at least the rank at negative even integers, and its leading coefficient is a Q-linear combination of Hurwitz zeta values.