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Knots and ones
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Knots and ones
classification
math.GT
hep-thmath.NT
keywords
invariantsknotsbinomialcertaincoefficientsconjecturedivisibilityformulas
read the original 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 M\"obius function. We also prove a conjecture about further divisibility properties of the invariants.
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