9 citations · 9 across the 4 of their papers we have counts for
5 papers
Contributions to the theory of the Euler eta function
Torre Caparatta, Sebastian Pauli, Filip Saidak
We investigate the distribution of the zeros of the Euler's function and its integral and fractional derivatives.
A Bound for Stieltjes Constants
Sebastian Pauli, Filip Saidak
The goal of this note is to improve on the currently available bounds for Stieltjes constants using the method of steepest descent applied by Coffey and Knessl to approximate Stiel…
Zeros of fractional derivatives of polynomials
Torre Caparatta, Sebastian Pauli, Filip Saidak
We investigate the behavior of fractional derivatives of polynomials. In particular, we consider the locations and the asymptotic behaviour of their zeros and give bounds for their…
Horizontal Monotonicity of the Modulus of the Riemann Zeta Function and Related Functions
Yuri Matiyasevich, Filip Saidak, Peter Zvengrowski
It is shown that the absolute values of Riemann's zeta function and two related functions strictly decrease when the imaginary part of the argument is fixed to any number with abso…
Zeros of high derivatives of the Riemann Zeta function
Thomas Binder, Sebastian Pauli, Filip Saidak
The main aim of this paper is twofold. First we generalize, in a novel way, most of the known non-vanishing results for the derivatives of the Riemann zeta function by establishing…