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Diophantine Representation in Thin Sequences

Baur, Stefan
Doctoral thesis
Date of Examination: 2016-04-21
Date of issue: 2016-08-24
Advisor: Brüdern, Jörg Prof. Dr.
Referee: Brüdern, Jörg Prof. Dr.
Referee: Blomer, Valentin Prof. Dr.
Referee: Fiebig, Ulf-Rainer PD Dr.
Referee: Kersten, Ina Prof. Dr.
Referee: Luke, Russell Prof. Dr.
Referee: Mihailescu, Preda Prof. Dr.

Persistent Address: http://hdl.handle.net/11858/00-1735-0000-0028-880C-3

 

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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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