# Pauli, Sebastian

## uncg

There are 6 item/s.

Title | Date | Views | Brief Description |
---|---|---|---|

Algorithms for enumerating invariants and extensions of local fields | 2015 | 1303 | There are many computationally difficult problems in the study of p-adic fields, among them the classification of field extensions and the decomposition of global ideals. The main goal of this work is present efficient algorithms, leveraging the Newt... |

Results about fractional derivatives of Zeta functions | 2017 | 1110 | Perhaps the most important function in all mathematics is the Riemann Zeta function. For almost 150 years Mathematicians have tried to understand the behavior of the functionâ€™s complex zeros. Our main aim is to investigate properties of the Riemann Z... |

On generators of Hilbert modular groups of totally real number fields | 2016 | 1581 | In this paper we report the beginnings of the computations and tabulations of the generators of $\PSL_2(\OK)$, where $\OK$ is the maximal order of a real field of degree $n=[K:\QQ]$. We discuss methods of obtaining generators in order to calculate th... |

Computing Galois groups of Eisenstein polynomials over p-adic fields | 2017 | 2423 | The most efficient algorithms for computing Galois groups of polynomials over global fields are based on Stauduharâ€™s relative resolvent method. These methods are not directly generalizable to the local field case, since they require a field that cont... |

Symbolic computation of resolvents | 2017 | 1263 | Resolvent polynomials are used in the determination of Galois groups of polynomials. The computation of the resolvent usually relies on root approximations requiring a high degree of precision. Leonard Soicher developed a method to compute absolute l... |

On zeros of fractional derivatives of Dirichlet series and polynomials | 2024 | 94 | In this thesis we apply some of the important concepts of Complex Analysis and Fractional Calculus to several special functions from Analytic Number Theory. For Euler eta, Dirichlet L-functions and polynomials we establish new zero-free regions and e... |