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Artículo
On the distribution (mod 1) of the normalized zeros of the Riemann Zeta-function
(Elsevier, 2015-08)
We consider the problem whether the ordinates of the non-trivial zeros of ζ(s) are uniformly distributed modulo the Gram points, or equivalently, if the normalized zeros (xn) are uniformly distributed modulo 1. Odlyzko ...
Artículo
Some bounds and limits in the theory of Riemann's zeta function
(Elsevier, 2012-12-01)
For any real a > 0 we determine the supremum of the real σ such that ζ(σ+it) = a for some real t. For 0 < a < 1, a = 1, and a > 1 the results turn out to be quite different. We also determine the supremum E of the real ...
Artículo
Dynamical zeta functions and Kummer congruences
(Seminarjum Matematyczne Uniwersytetu, 2005)
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 ...