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20082026
most citedEnumerating Extensions of -Adic Fields with Given Invariants

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math.NT2026

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.

math.NT2023

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…

math.NT2015★ 1 cited

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…

math.NT2011

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…

math.NT2010

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…

math.NT2008

Computation of 2-groups of positive classes of exceptional number fields

Jean-François Jaulent, Sebastian Pauli, Michael Pohst +1

We present an algorithm for computing the 2-group of the positive divisor classes of a number field F in case F has exceptional dyadic places. As an application, we compute the 2-r…