4 citations · 8 across the 8 of their papers we have counts for
8 papers
Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations
Manabu Inuma, Ren Motomiya, Takeyoshi Kogiso
Morier-Genoud and Ovsienko introduced q-deformations of continued fractions, Farey labelings, and Conway--Coxeter friezes, and established relationships among them in restricted se…
Arithmetic on -deformed rational numbers
Takeyoshi Kogiso, Kengo Miyamoto, Xin Ren +2
Recently, Morier-Genoud and Ovsienko introduced a -deformation of rational numbers. More precisely, for an irreducible fraction , they constructed coprime polynomia…
Prehomogeneous vector spaces obtained from triangle arrangements
Takeyoshi Kogiso, Hideto Nakashima
In this paper, we construct a new series of prehomogeneous vector spaces from figures made up of triangles, called triangle arrangements. Our main theorem states that, under suitab…
A characterization of Conway-Coxeter friezes of zigzag type by rational links
Takeyoshi Kogiso, Michihisa Wakui
The present paper show that Conway-Coxeter friezes of zigzag type are characterized by (unoriented) rational links. As an application of this characterization Jones polynomial can…
-Deformations and -deformations of Markov triples
Takeyoshi Kogiso
In this paper, we generalize the Markov triples in two different directions. One is generalization in direction of using the -deformation of rational number introduced by \cite{…
A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials
Takeyoshi Kogiso, Michihisa Wakui
In the present paper, we build a bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. One can compute a Kauffman bracket polynomials…
Some properties of associated spaces with sub-Hankel determinants
Hideyuki Ishi, Takeyoshi Kogiso
In this note, we show that the space associated with sub-Hankel determinant is a non-reductive, regular prehomogeneous vector space, and we give the multiplicative Legendre transfo…
Clifford quartic forms and local functional equations of non-prehomogeneous type
Fumihiro Sato, Takeyoshi Kogiso
We construct polynomials of degree 4 that can not be obtained from prehomogeneous vector spaces, but, for which one can associate local zeta functions satisfying functional equatio…