4 citations · 9 across the 5 of their papers we have counts for
5 papers
On relations for zeros of -polynomials and -polynomials
Tadashi Ishibe
Let be an irreducible (possibly noncrystallographic) root system of rank of type . For the corresponding cluster complex , which is known as pure -dimension…
Zero loci of skew-growth functions for dual Artin monoids
Tadashi Ishibe, Kyoji Saito
We show that the skew-growth function of a dual Artin monoid of finite type P has exactly rank(P) =: l simple real zeros on the interval (0, 1]. The proofs for types A_l and B_l ar…
On the derivative at of the skew-growth functions for Artin monoids
Tadashi Ishibe
Let be the Artin monoid of finite type generated by the letters with respect to a Coxeter matrix that is equipped with the degree map $°\!:\!G_{M}^{+}…
The conjugacy problem for positive homogeneously presented monoids
Tadashi Ishibe
Let be a positive homogeneously presented monoid . If satisfies the cancellation condition and carries certain particular elements similar…
Monoids in the fundamental groups of the complement of logarithmic free divisors in C^3
Kyoji Saito, Tadashi Ishibe
We study monoids generated by Zariski-van Kampen generators in the 17 fundamental groups of the complement of logarithmic free divisors in C^3 listed by Sekiguchi (Theorem 1). Five…