English

The beta function of a knot

dg-ga 2007-05-23 v2 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.dg-ga/9710011,
  title  = {The beta function of a knot},
  author = {Jean-Luc Brylinski},
  journal= {arXiv preprint arXiv:dg-ga/9710011},
  year   = {2007}
}

Comments

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