6 papers
The vortex-like behavior of the Riemann zeta function to the right of the critical strip
Juan Matías Sepulcre, Tomás Vidal
Based on an equivalence relation that was established recently on exponential sums, in this paper we study the class of functions that are equivalent to the Riemann zeta function i…
On the real projections of zeros of almost periodic functions
J. M. Sepulcre, T. Vidal
This paper deals with the set of the real projections of the zeros of an arbitrary almost periodic function defined in a vertical strip . It provides practical results in order…
Sets of values of equivalent almost periodic functions
J. M. Sepulcre, T. Vidal
In this paper we establish a new equivalence relation on the spaces of almost periodic functions which allows us to prove a result like Bohr's equivalence theorem extended to the c…
Bohr's equivalence relation in the space of Besicovitch almost periodic functions
J. M. Sepulcre, T. Vidal
Based on Bohr's equivalence relation which was established for general Dirichlet series, in this paper we introduce a new equivalence relation on the space of almost periodic funct…
A generalization of Bohr's Equivalence Theorem
J. M. Sepulcre, T. Vidal
Based on a generalization of Bohr's equivalence relation for general Dirichlet series, in this paper we study the sets of values taken by certain classes of equivalent almost perio…
On the real projection of the zeros of 1+2^s+...+n^s
Eric Dubon, Gaspar Mora, Juan Matías Sepulcre +2
In this paper, we focus on the existence of accumulation points of the subset defined by the real projection of the zeros of the partial sums of the Riemann zeta functions. That wo…