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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 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 ...
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 ...