The beta function of a knot

Details The beta function of a knot The beta function of a knot

1997-10-10

arxiv.org/abs/dg-ga/9710011v2

Mathematics

Differential Geometry

plain TeX; the new version discusses the relation with the M\"obius energy for knots

Scientific paper

We introduce the beta function of a knot in euclidean three-space. This is a
meromorphic function of a complex variable which we prove admits a Bernstein
type functional equation. We determine the first residues.

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