Aineistot 1-5 / 5
On using distances to locate vertices: resolving sets and metric bases of graphs, two generalisations and their forced vertices
(Turun yliopisto, 2021-06-18)
A graph consists of vertices that are connected by edges. A resolving set of a graph is a subset of its vertices that gives a unique combination of distances to every vertex of the graph. We can use the distances we are ...
Approximations to Landau’s problems on prime numbers
(Turun yliopisto, 2021-04-26)
In this thesis we study the distribution of prime numbers by considering approximations to fundamental open conjectures about them. The conjectures in question are the so-called Landau’s problems, named after Edmund Landau ...
On some modifications and applications of the post correspondence problem
(Turun yliopisto, 2022-03-04)
The Post Correspondence Problem was introduced by Emil Post in 1946. The problem considers pairs of lists of sequences of symbols, or words, where each word has its place on the list determined by its index. The Post ...
Geometry of Intrinsic Metrics
(Turun yliopisto, 2021-09-03)
The study of intrinsic metrics is an interesting area of research in the geometric function theory, which is a subfield of mathematical analysis. The topics of research include quasiregular mappings, conformal capacity and ...
Modern approaches to classical additive problems
(Turun yliopisto, 2022-05-05)
In this thesis, we study additive problems using the transference principle and the Hardy-Littlewood circle method. The problems studied are related to Waring's prolem and Goldbach's conjecture. Waring's problem states ...