Diophantine Representation in Thin Sequences
von Stefan Baur
Datum der mündl. Prüfung:2016-04-21
Erschienen:2016-08-24
Betreuer:Prof. Dr. Jörg Brüdern
Gutachter:Prof. Dr. Jörg Brüdern
Gutachter:Prof. Dr. Valentin Blomer
Gutachter:PD Dr. Ulf-Rainer Fiebig
Gutachter:Prof. Dr. Ina Kersten
Gutachter:Prof. Dr. Russell Luke
Gutachter:Prof. Dr. Preda Mihailescu
Dateien
Name:DiophantineRepresentationInThinSequences.pdf
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Format:PDF
Zusammenfassung
Englisch
In this work we investigate conditions under which forms of arbitrary degree represent almost all elements of thin sequences (especially the set of squares). Stronger results are given for forms of degree 3 and 4.
Keywords: number theory; thin sequences; diophantine representation