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arxiv: dg-ga/9710011 · v2 · submitted 1997-10-10 · dg-ga · math.DG

The beta function of a knot

classification dg-ga math.DG
keywords functionbetaknotadmitsbernsteincomplexdetermineequation
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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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