Allen, Patrick2007-05-082007-05-0820062006http://hdl.handle.net/10012/2942In 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.application/pdf559709 bytesapplication/pdfenCopyright: 2006, Allen, Patrick. All rights reserved.Mathematicslinear recurrencediophantine equationsnumber theoryMaster Thesis