Essays about: "cubic fields"

Showing result 1 - 5 of 7 essays containing the words cubic fields.

  1. 1. The low-lying zeros of L-functions associated to non-Galois cubic fields

    University essay from Göteborgs universitet/Institutionen för matematiska vetenskaper

    Author : Victor Ahlquist; [2023-02-13]
    Keywords : Mathematics; number theory; cubic fields; L-functions; low-lying zeros; onelevel density; two-level density; phase transition.;

    Abstract : We study the low-lying zeros of Artin L-functions associated to non-Galois cubic number fields through their one- and two-level densities. In particular, we find new precise estimates for the two-level density with a power-saving error term. READ MORE

  3. 2. Compact Digital Track Maps: Enhancing Train Traveller Information at the Crossing of Accuracy and Availability : A comparative analysis of algorithms for generating compact representations of railway tracks

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Adam Andersson; [2023]
    Keywords : Train positioning; Digital track map; Digital map generation; Position measurement; Global navigation satellite system; Cartography; Tågpositionering; Digitala spårkartor; Generering av digitala kartor; Positionsmätning; Satellitnavigation; Kartograf;

    Abstract : Trains are constrained to the railway tracks they operate on. This can be leveraged for absolute train positioning, where a train’s position can be mapped onto a digital track map (DTM). Extensive research has been dedicated to enhancing the accuracy of DTMs. READ MORE

  4. 3. A Prime or Not a Prime? That is the Question

    University essay from Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

    Author : Vetle Tjora; [2022]
    Keywords : primality testing; Lucas--Lehmer; number theory; cubic reciprocity; Mersenne primes; Mathematics and Statistics;

    Abstract : In this survey, we shall prove the Lucas–Lehmer primality test used to find the Mersenne primes. A proof of the Law of Cubic Reciprocity will also be presented, which will be applied in the proof of a generalisation of the Lucas–Lehmer primality test... READ MORE

  5. 4. Ramification of polynomials

    University essay from Linnéuniversitetet/Institutionen för matematik (MA)

    Author : Ana Strikic; [2021]
    Keywords : non-pleasantly ramified polynomials; minimally ramified polynomial; lower ramification numbers; minimal ramification; discrete dynamical systems; iterating polynomials; ultrametric fields;

    Abstract : In this research,we study iterations of non-pleasantly ramified polynomials over fields of positive characteristic and subsequently, their lower ramification numbers. Of particular interest for this thesis are polynomials for which both the multiplicity and  the degree of its iterates grow exponentially. READ MORE

  6. 5. Topology-guided analysis and visualization of charge density fields

    University essay from Linköpings universitet/Institutionen för fysik, kemi och biologi; Linköpings universitet/Tekniska fakulteten

    Author : Elvis Jakobsson; [2019]
    Keywords : Visualization; Topology; Charge density; Direct Volume Rendering; Crystal structure;

    Abstract : Direct volume rendering techniques for scalar fields make use of transfer functions to map optical properties to the field; the field can subsequently be visualized through the drawing of isosurfaces in the volume spanned by the field. The utility of this approach is limited in the case of nested or clustered structures with the same isovalue and further does not easily allow for quantitative measurements of the visualized data. READ MORE