22 citations · 63 across the 35 of their papers we have counts for
37 papers
Absolute zeta functions for zeta functions of quantum cellular automata
Jirô Akahori, Norio Konno, Iwao Sato
Our previous work dealt with the zeta function for the interacting particle system (IPS) including quantum cellular automaton (QCA) as a typical model in the study of ``IPS/Zeta Co…
Alternating Walk/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato
We consider the alternating zeta function and the alternating -function of a graph , and express them by using the Ihara zeta function of . Next, we define a generalized a…
Ronkin/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic function. Recently, this function has been used in various research fields in mathema…
Metzler/Zeta Correspondence
Yusuke Ide, Takashi Komatsu, Norio Konno +1
We present an explicit formula for the determinant on the Metzler matrix of a digraph . Furthermore, we introduce a walk-type zeta function with respect to this Metzler matrix o…
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.…
Mahler/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Mahler measure was introduced by Mahler in the study of number theory. It is known that the Mahler measure appears in different areas of mathematics and physics. On the other h…