Department of Mathematical Analysis, University of Alicante, 03080 Alicante, Spain
Copyright © 2011 G. Mora and J. M. Sepulcre. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We give a partition of the critical strip, associated with each partial sum of the Riemann zeta function for Re , formed by infinitely many rectangles for which a formula allows us
to count the number of its zeros inside each of them with an error, at most,
of two zeros. A generalization of this formula is also given to a large class of
almost-periodic functions with bounded spectrum.