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Dynamical zeta functions and Kummer congruences

J. Arias de Reyna
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Abstract

We establish a connection between the coefficients of Artin-Mazur zeta-functions and Kummer congruences. This allows to settle positively the question of the existence of a map T such that the number of fixed points of the n-th iterate of T is equal to the absolute value of the 2n-th Euler number. Also we solve a problem of Gabcke related to the coefficients of Riemann-Siegel formula.

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J. Arias de Reyna. 2003-09-11. Dynamical zeta functions and Kummer congruences. https://doi.org/10.4064/aa119-1-3

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