Uniqueness of dynamical zeta functions and symmetric products



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Blanco Gómez, Eduardo and Hernández Corbato, Luis and Romero Ruiz del Portal, Francisco (2016) Uniqueness of dynamical zeta functions and symmetric products. Journal of Fixed Point Theory and Applications, 18 (4). pp. 689-719. ISSN 16617738

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Official URL: http://link.springer.com/article/10.1007/s11784-016-0296-x


A characterization of dynamically defined zeta functions is presented. It comprises a list of axioms, natural extension of the one which characterizes topological degree, and a uniqueness theorem. Lefschetz zeta function is the main (and proved unique) example of such zeta functions. Another interpretation of this function arises from the notion of symmetric product from which some corollaries and applications are obtained.

Item Type:Article
Uncontrolled Keywords:Fixed point index; Lefschetz zeta function; symmetric products
Subjects:Sciences > Mathematics > Mathematical analysis
Sciences > Mathematics > Differential equations
ID Code:40552
Deposited On:02 Feb 2017 10:03
Last Modified:12 Dec 2018 15:12

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