2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33358We 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 knotsDifferential Geometrytext