Dynamical zeta functions and Kummer congruences
数论
2014-03-25 v1
摘要
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.
引用
@article{arxiv.math/0309190,
title = {Dynamical zeta functions and Kummer congruences},
author = {J. Arias de Reyna},
journal= {arXiv preprint arXiv:math/0309190},
year = {2014}
}
备注
12 pages, AMS-LaTeX