On the Signatures of Torus Knots
Maciej Borodzik, Krzysztof Oleszkiewicz (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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We study properties of the signature function of the torus knot . First we provide a very elementary proof of the formula for the integral of the signature over the circle. We also obtain a closed formula for the Tristram-Levine signature of a torus knot in terms of Dedekind sums.