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Ray-Singer Torsion, Topological Field Theories and the Riemann Zeta Function at s = 3
[chapter]
1993
NATO ASI Series
Preserved Fulltext
Starting with topological field theories we investigate the Ray-Singer analytic torsion in three dimensions. For the lens Spaces L(p; q) an explicit analytic continuation of the appropriate zeta functions is contructed and implemented. Among the results obtained are closed formulae for the individual determinants involved, the large p behaviour of the determinants and the torsion, as well as an infinite set of distinct formulae for ζ(3): the ordinary Riemann zeta function evaluated at s = 3.
doi:10.1007/978-1-4899-1612-9_25
fatcat:urijbglqcvfzvadjzexdsu3544