Article
Dynamical zeta functions and Kummer congruences
Author/s | Arias de Reyna Martínez, Juan |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2005 |
Deposit Date | 2016-06-10 |
Published in |
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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 : X → X such that the number of fixed ... 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 : X → X such that the number of fixed points of T n are |E2n|, where E2n are the Euler numbers. Also we solve a problem of Gabcke related to the coefficients of Riemann-Siegel formula. |
Citation | Arias de Reyna Martínez, J. (2005). Dynamical zeta functions and Kummer congruences. Acta Arithmetica, 119 (1), 39-52. |
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