Linear Recurrence Sequences in Diophantine Analysis

dc.contributor.advisor	Akhtari, Shabnam
dc.contributor.author	Bellah, Elisa
dc.date.accessioned	2022-10-04T19:39:54Z
dc.date.available	2022-10-04T19:39:54Z
dc.date.issued	2022-10-04
dc.description.abstract	Diophantine analysis is an area of number theory concerned with finding integral solutions to polynomial equations defined over the rationals, or more generally over a number field. In some cases, it is possible to associate a well behaved recurrence sequence to the solution set of a Diophantine equation, which can be useful in generating explicit results. It is known that the solution set to any norm form equation is naturally associated to a family of linear recurrence sequences. As these sequences have been widely studied, Diophantine problems involving norm forms are well-suited to be studied through their associated sequences. In this dissertation, we use this method to study two such problems.	en_US
dc.identifier.uri	https://hdl.handle.net/1794/27601
dc.language.iso	en_US
dc.publisher	University of Oregon
dc.rights	All Rights Reserved.
dc.subject	Diophantine Analysis	en_US
dc.subject	Number Theory	en_US
dc.title	Linear Recurrence Sequences in Diophantine Analysis
dc.type	Electronic Thesis or Dissertation
thesis.degree.discipline	Department of Mathematics
thesis.degree.grantor	University of Oregon
thesis.degree.level	doctoral
thesis.degree.name	Ph.D.

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