Pauli, Sebastian

uncg

There are 5 item/s.

TitleDateViewsBrief Description
Algorithms for enumerating invariants and extensions of local fields 2015 560 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...
On generators of Hilbert modular groups of totally real number fields 2016 456 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...
Results about fractional derivatives of Zeta functions 2017 293 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 function’s complex zeros. Our main aim is to investigate properties of the Riemann Z...
Computing Galois groups of Eisenstein polynomials over p-adic fields 2017 628 The most efficient algorithms for computing Galois groups of polynomials over global fields are based on Stauduhar’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 290 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...