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http://dx.doi.org/10.7468/jksmeb.2011.18.2.141

ZETA FUNCTIONS FOR ONE-DIMENSIONAL GENERALIZED SOLENOIDS  

Yi, In-Hyeop (Department of Mathematics Education, Ewha Womans University)
Publication Information
The Pure and Applied Mathematics / v.18, no.2, 2011 , pp. 141-155 More about this Journal
Abstract
We compute zeta functions of 1-solenoids. When our 1-solenoid is nonorientable, we compute Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid and its orientable double cover explicitly in terms of adjacency matrices and branch points. And we show that Artin-Mazur zeta function of orientable double cover is a rational function and a quotient of Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid.
Keywords
generalized solenoid; Artin-Mazur zeta function; Lefschetz zeta function; Lefschetz number;
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