Diophantine Representation in Thin Sequences

by Stefan Baur
Doctoral thesis
Date of Examination:2016-04-21
Date of issue:2016-08-24
Advisor:Prof. Dr. Jörg Brüdern
Referee:Prof. Dr. Jörg Brüdern
Referee:Prof. Dr. Valentin Blomer
Referee:PD Dr. Ulf-Rainer Fiebig
Referee:Prof. Dr. Ina Kersten
Referee:Prof. Dr. Russell Luke
Referee:Prof. Dr. Preda Mihailescu
Persistent Address: http://dx.doi.org/10.53846/goediss-5822

 

 

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Abstract

English

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
 
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