Dynamical zeta functions and Kummer congruences

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.Comment: 12 pages, AMS-LaTe

Generalized Dold Sequences on Partially-Ordered Sets

“…review article [6]). They are known under different names such as: pre-realizable sequences [32], relatively realizable sequences [28], Gauss sequences [40], generalized Fermat sequences [10] and Fermat sequences [11].…”