5 citations · 6 across the 9 of their papers we have counts for
9 papers
Chirality of torus-covering -links of degree three
Hohto Bekki, Teruhisa Kadokami, Inasa Nakamura
A torus-covering -link of degree is a surface-link consisting of tori, in the form of an unbranched covering of degree over the standard torus. We focus on a torus-cov…
-Ordinary Part of Hyperbolic Cycles on Modular Curves
Hohto Bekki, Ryotaro Sakamoto
In this paper, we study hyperbolic cycles in the first homology group with local coefficients of congruence subgroups of . We prove that, for any prime n…
Harder's denominator problem for and its applications
Hohto Bekki, Ryotaro Sakamoto
The aim of this paper is to give a full detail of the proof given by Harder of a theorem on the denominator of the Eisenstein class for and to show that…
On the conical zeta values and the Dedekind zeta values for totally real fields
Hohto Bekki
The conical zeta values are a generalization of the multiple zeta values which are defined by certain multiple sums over convex cones. In this paper, we present a relation between…
Geodesic continued fraction for Shimura curves and its periodicity: the case of -triangle group
Hohto Bekki
In this paper we study the geodesic continued fraction in the case of the Shimura curve coming from the -triangle group. We construct a certain continued fraction expansio…
The Hodge Realization of the Polylogarithm and the Shintani Generating Class for Totally Real Fields
Kenichi Bannai, Hohto Bekki, Kei Hagihara +3
In this article, we construct the Hodge realization of the polylogarithm class in the equivariant Deligne-Beilinson cohomology of a certain algebraic torus associated to a totally…
Shintani-Barnes cocycles and values of the zeta functions of algebraic number fields
Hohto Bekki
In this paper, we construct a new Eisenstein cocycle called the Shintani-Barnes cocycle which specializes in a uniform way to the values of the zeta functions of general number fie…
On periodicity of geodesic continued fractions
Hohto Bekki
In this paper, we present some generalizations of Lagrange's theorem in the classical theory of continued fractions motivated by the geometric interpretation of the classical theor…
Relative Hecke's integral formula for an arbitrary extension of number fields
Hohto Bekki
In this article, we present a generalized Hecke's integral formula for an arbitrary extension of number fields. As an application, we present relative versions of the residue…