On a special value of the Ruelle L-function

Details On a special value of the Ruelle L-function On a special value of the Ruelle L-function

2007-08-23

arxiv.org/abs/0708.3123v1

Mathematics

Differential Geometry

15 pages

Scientific paper

For a unitary local system of rank one on a complete hyperbolic threefold of
finite volume which has only one cusp, the Ruelle L-function is defined. We
will show that if the first cohomology group of the local system vanishes its
value at s=0 is equal to the square of the Franz-Reidemeister torsion.

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