1 citations · 1 across the 8 of their papers we have counts for
9 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…
Enumerating Extensions of -Adic Fields with Given Invariants
Sebastian Pauli, Brian Sinclair
We give an algorithm that constructs a minimal set of polynomials defining all extension of a -adic field with given, inertia degree, ramification index, discriminant, ramific…
Single-factor lifting and factorization of polynomials over local fields
J. Guàrdia, E. Nart, S. Pauli
Let be a separable polynomial over a local field. Montes algorithm computes certain approximations to the different irreducible factors of , with strong arithmetic pro…
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…