5 papers
On the Ihara expression for the generalized weighted zeta function
Ayaka Ishikawa, Hideaki Morita
We consider the generalized weighted zeta function for a finite digraph, and show that it has the Ihara expression, a determinant expression of graph zeta functions, with a certain…
The Ihara expression for generalized weighted zeta functions of Bartholdi type on finite digraphs
Ayaka Ishikawa, Hideaki Morita, Iwao Sato
The Ihara expression of a weighted zeta function for a general finite digraph is given. It unifies all the Ihara expressions obtained for known zeta functions for finite digraphs.…
The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph
Matsutani Shigeki, Misuhashi Hideo, Morita Hideaki +1
We consider the second weighted Bartholdi zeta function of a graph , and present weighted versions for the result of Li and Hou's on the partial derivatives of the determinant p…
A bijective proof of a factorization formula for Macdonald polynomials at roots of unity
Francois Descouens, Hideaki Morita, Yasuhide Numata
We give a combinatorial proof of the factorization formula of modified Macdonald polynomials when the parameter t is specialized at a primitive root of unity. Our proof is restrict…
Factorization formulas for Macdonald polynomials
Francois Descouens, Hideaki Morita
The aim of this note is to give some factorization formulas for different versions of the Macdonald polynomials when the parameter t is specialized at roots of unity, generalizing…