Zeta Functions of Graphs: A Stroll through the Garden, volume 128 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, 2011.Audrey Terras. Zeta Functions of Graphs: A Stroll through the Garden, volume 128 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, ...
Fabien Friedli and Anders Karlsson, Spectral zeta functions of graphs and the Riemann zeta function in the critical striparXiv:1410.8010v1 [math.NT] 29 Oct 2014Friedli, F. and Karlsson, A.: Spectral zeta functions of graphs and the Riemann zeta function in the critical strip, preprint ar...
摘要: The L2-zeta function of an infinite graph Y (defined previously in a ball around zero) has an analytic extension. For a tower of finite graphs covered by Y, the normalized zeta functions of the finite graphs converge to the L2-zeta function of Y.关键词:...
摘要 为推广边自由商图的Zeta函数,本文定义了边加权的边自由商图上的Zeta函数。为方便推广后的Zeta函数的表达式的计算,利用边自由商图的性质,给出新的二项和三项行列式公式。 Edge-weighted Zeta functions of edge-free quotients of graphs are defined to generalize the Zeta functions of edge-free quotients ...
In 1989, Hashimoto introduced an edge zeta function of a finite graph, which is a generalization of the Ihara zeta function. The edge zeta function is the reciprocal of a polynomial in twice as many indeterminants as edges in the graph and can be computed via a determinant expression. We ...
1.Zeta functions of digraphs were introduced by Mizuno and Sato(Linear Algebra Appl.Mizuno和Sato定义了有向图的Zeta函数(见Linear Algebra Appl。 2.In this paper, we study the special Witt extension tower of a function field and the computation of it s zeta function.本篇文章主要研究了函数域上...
1. Zeta functions of digraphs were introduced by Mizuno and Sato(Linear Algebra Appl. Mizuno和Sato定义了有向图的Zeta函数(见Linear Algebra Appl。2. In this paper, we study the special Witt extension tower of a function field and the computation of it s zeta function. 本篇文章主要研究了...
Zeta functions of line, middle, total graphs of a graph and their coverings Linear Algebra and its ApplicationsJin Ho Kwak and Iwao Sato, Zeta functions of line, middle, total graphs of a graph and their coverings, Linear ... HK Jin,I Sato - 《Linear Algebra & Its Applications》 被引量...
A reconstruction theorem for Riemann surfaces up to (anti)conformal equivalence, based on the zeta functions of a spectral triple, was obtained in =-=[20]-=-, with an analogous result for graphs in [26]. At the same time, quantum statistical mechanical systems, another important construction...
As a result, we establish a precise connection between the complexity of the Cayley graphs of finite abelian groups and heights of real tori. It is also known that spectral determinants on discrete tori can be expressed using trigonometric functions and that spectral determinants on real tori can...