The beta function of a knot
Abstract
Description
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.
plain TeX; the new version discusses the relation with the Möbius energy for knots
plain TeX; the new version discusses the relation with the Möbius energy for knots