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| Title: | Multiplicities of Linear Recurrence Sequences |
| Authors: | Allen, Patrick |
| Keywords: | Mathematics
linear recurrence
diophantine equations
number theory |
| Approved Date: | 2006 |
| Date Submitted: | 2006 |
| Abstract: | In 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, Pintér 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 t by a function involving t alone. Moreover we improve on Schmidt's bound by making some minor changes to his argument. |
| Department: | Pure Mathematics |
| Degree: | Master of Mathematics |
| URI: | http://hdl.handle.net/10012/2942 |
| Appears in Collections: | Electronic Theses and Dissertations (UW)
Faculty of Mathematics Theses and Dissertations
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