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math.DG2008★ 4 cited
The Taylor expansion of Ruelle L-function at the origin and the Borel regulator
Ken-ichi Sugiyama
We will prove that Ruelle L-function for a cuspidal local system on an odd dimensional hyperbolic manifold with finite volume satisfies a functional equation and an analog of the R…
math.DG2008★ 3 cited
A special value of Ruelle L-function and the theorem of Cheeger and Muller
Ken-ichi Sugiyama
We will show a theorem of a type of Cheeger and Muller for a noncompact complete hyperbolic threefold of finite vulume. As an application we will compute a special value of Ruelle…
math.DG2007★ 1 cited
On a special value of the Ruelle L-function
Ken-ichi Sugiyama
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…