# Signature of a Torus Link

The signature of a torus knot $T_{p,q}$, where $p$ and $q$ are coprime, is well-defined and relatively easy to compute in terms of lattice points in certain quadrilaterals, as a summation over floor functions, or in terms of the Dedekind sum function (See Litherland's paper).

The signature of a torus link of the form $T_{p,q}$, where $\gcd(p,q) > 1$, is well defined according to Ch. 6 of Murasugi's Knot Theory and its Applications. In the same chapter there is recurrence algorithm used to compute the signature for a general torus link. However, is there a closed form expression for it?

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