4 citations · 15 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
An analog of the Iwasawa conjecture for a complete hyperbolic threefold of finite volume
Ken-ichi Sugiyama
For a unitary local system of rank one on a complete hyperbolic threefold of finite volume which has only one cusp, we will compare the order of the Alexander invariant at t=1 and…
A quantization of the Hitchin hamiltonian system and the Beilinson-Drinfeld isomorphism
Ken-ichi Sugiyama
We will study the Hitchin's hamiltonian system for a modular stack of principal SL_2(C) bundle on a smooth projective curve which has a parabolic reduction at certain points. As an…
On a linear code from a configuration of affine lines
Ken-ichi Sugiyama
We will show how to obtain a linear code from a configuration of affine lines in general position and a suitable set of rational points. We will also explain a new decoding algorit…