Torus Knot complements: A natural series for the natural logarithm

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dc.creatorDasbach, Oliver T.
dc.date2006-11-01
dc.date.accessioned2026-07-07T07:32:25Z
dc.date.available2026-07-07T07:32:25Z
dc.descriptionLueck expressed the Gromov norm of a knot complement in terms of an infinite series that can be computed from a presentation of the fundamental group of the knot complement. In this note we show that Lueck's formula, applied to torus knots, yields surprising power series expansions for the logarithm function. This generalizes an infinite series of Lehmer for the natural logarithm of 4.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0611027
dc.identifierhttp://arxiv.org/abs/math/0611027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119104
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject57M27
dc.titleTorus Knot complements: A natural series for the natural logarithm
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