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arXiv · 1703.00990

Knots and ones

Estelle Basor·Brian Conrey·Kent E. Morrison
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Abstract

We give a number theoretic proof of the integrality of certain BPS invariants of knots. The formulas for these numbers are sums involving binomial coefficients and the Möbius function. We also prove a conjecture about further divisibility properties of the invariants.

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Estelle Basor, Brian Conrey, Kent E. Morrison. 2017-03-02. Knots and ones. https://arxiv.org/abs/1703.00990

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