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dc.contributor.authorAllen, Patricken 14:01:46 (GMT) 14:01:46 (GMT)
dc.description.abstractIn this report we give an overview of some of the major results concerning the multiplicities of linear recurrence sequences. We first investigate binary recurrence sequences where we exhibit a result due to Beukers and a result due to Brindza, Pint&eacute;r and Schmidt. We then investigate ternary recurrences and exhibit a result due to Beukers building on work of Beukers and Tijdeman. The last two chapters deal with a very important result due to Schmidt in which we bound the zero-multiplicity of a linear recurrence sequence of order <em>t</em> by a function involving <em>t</em> alone. Moreover we improve on Schmidt's bound by making some minor changes to his argument.en
dc.format.extent559709 bytes
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 2006, Allen, Patrick. All rights reserved.en
dc.subjectlinear recurrenceen
dc.subjectdiophantine equationsen
dc.subjectnumber theoryen
dc.titleMultiplicities of Linear Recurrence Sequencesen
dc.typeMaster Thesisen
dc.pendingfalseen Mathematicsen
uws-etd.degreeMaster of Mathematicsen

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