Add to ORKGPóster presentado en Third Winter School in Complex Analysis and Operator Theory, 2-5 February 2010, Valencia, Spain.We have proved that the sum of the real parts of the zeros of each partial sum 1+2^z+...+n^z of the Riemann zeta function is bounded for all integer n>= 2. If we take into account that the numerical experiences say us that, except for n = 2, their zeros are not located symmetrically with respect to the imaginary axis, this property may be considered as a surprising fact
This paper studies zeta functions of the form $\sum_{n=1}^{\infty} \chi(n) n^{-s}$, with $\chi$ a co...
AbstractThe location and multiplicity of the zeros of zeta functions encode interesting arithmetic i...
We study zeros distribution for meromorphic functions of the form $\sum\limits_n \dfrac{c_n}{(z-t_n)...
Póster presentado en Third Winter School in Complex Analysis and Operator Theory, 2-5 February 2010,...
AbstractIn this paper we study the distribution of zeros of each entire function of the sequence {Gn...
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riem...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
This paper proves that the real projection of each zero of any function P(z)P(z) in a large class of...
AbstractIn this paper we study the distribution of zeros of each entire function of the sequence {Gn...
In this paper we study the distribution of the zeros of each function G_{n}(z)≡1+2^{z}+...+n^{z}, n≥...
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-va...
This paper proves that every zero of any n th , n ≥ 2, partial sum of the Riemann zeta function prov...
Let View the MathML source ζn(z):=∑k=1n1kz, z=x+iy, be the n th partial sum of the Riemann zeta func...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
AbstractLet ƒn(z) be the sum of precisely those terms of the Mittag-Leffler expansion of ƒ(z) = π cs...
This paper studies zeta functions of the form $\sum_{n=1}^{\infty} \chi(n) n^{-s}$, with $\chi$ a co...
AbstractThe location and multiplicity of the zeros of zeta functions encode interesting arithmetic i...
We study zeros distribution for meromorphic functions of the form $\sum\limits_n \dfrac{c_n}{(z-t_n)...
Póster presentado en Third Winter School in Complex Analysis and Operator Theory, 2-5 February 2010,...
AbstractIn this paper we study the distribution of zeros of each entire function of the sequence {Gn...
In this paper, we introduce a formula for the exact number of zeros of every partial sum of the Riem...
For every integer n≥2n≥2, let View the MathML sourceS(n)={z:a(n)≤Rez≤b(n)} be the critical strip whe...
This paper proves that the real projection of each zero of any function P(z)P(z) in a large class of...
AbstractIn this paper we study the distribution of zeros of each entire function of the sequence {Gn...
In this paper we study the distribution of the zeros of each function G_{n}(z)≡1+2^{z}+...+n^{z}, n≥...
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-va...
This paper proves that every zero of any n th , n ≥ 2, partial sum of the Riemann zeta function prov...
Let View the MathML source ζn(z):=∑k=1n1kz, z=x+iy, be the n th partial sum of the Riemann zeta func...
AbstractWe show that if the derivative of the Riemann zeta function has sufficiently many zeros clos...
AbstractLet ƒn(z) be the sum of precisely those terms of the Mittag-Leffler expansion of ƒ(z) = π cs...
This paper studies zeta functions of the form $\sum_{n=1}^{\infty} \chi(n) n^{-s}$, with $\chi$ a co...
AbstractThe location and multiplicity of the zeros of zeta functions encode interesting arithmetic i...
We study zeros distribution for meromorphic functions of the form $\sum\limits_n \dfrac{c_n}{(z-t_n)...