Show simple item record

dc.contributor.advisorCais, Bryden
dc.contributor.authorLetizia, William Aaron
dc.creatorLetizia, William Aaron
dc.date.accessioned2020-02-18T02:25:41Z
dc.date.available2020-02-18T02:25:41Z
dc.date.issued2019-05
dc.identifier.urihttp://hdl.handle.net/10150/637049
dc.description.abstractThe p-adic numbers give a new technique to answer questions about the integers and rational numbers. While they are typically used in a more abstract setting, I will present two concrete applications of p-adic numbers. The major results that I will prove in this paper are that any finite subgroup of GLn(Q) must divide 24 and that the set of zeros of any integer linear recurrence sequence is the union of a finite number of finite sets and a finite number of arithmetic progressions. The latter result is better known as the Skolem-Mahler-Lech Theorem.en_US
dc.language.isoenen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.titleAPPLICATIONS OF P-ADIC NUMBERSen_US
dc.typetexten_US
dc.typeElectronic Thesisen_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.levelbachelorsen_US
thesis.degree.disciplineHonors Collegeen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.nameB.S.en_US
refterms.dateFOA2020-02-18T02:25:42Z


Files in this item

Thumbnail
Name:
azu_etd_hr_2019_0279_sip1_m.pdf
Size:
221.4Kb
Format:
PDF
Description:
Honors Thesis

This item appears in the following Collection(s)

Show simple item record