| dc.contributor.advisor | Banks, William David, 1964- | eng |
| dc.contributor.author | Nevans, C. Wesley, 1983- | eng |
| dc.date.issued | 2010 | eng |
| dc.date.submitted | 2010 Fall | eng |
| dc.description | Title from PDF of title page (University of Missouri--Columbia, viewed on December 7, 2010). | eng |
| dc.description | The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. | eng |
| dc.description | Dissertation advisor: Dr. William Banks. | eng |
| dc.description | Ph. D. University of Missouri--Columbia 2010. | eng |
| dc.description.abstract | We explore certain sequences of integers which appear in the number theory. We start by exploring properties of Beatty sequences. We concentrate on looking at the sum of primes from a Beatty sequence and properties of certain multiplicative functions on a Beatty sequence. We move on to the Robin and Nicolas inequalities and consider sequences with certain properties which must satisfy these. Next is we explore certain sequences of composite integers which are similar to those of the primes, mainly Carmichael, Guiga, and Lucas numbers. Finally we discuss Descartes numbers, and determine all such numbers with certain other properties. | eng |
| dc.description.bibref | Includes bibliographical references. | eng |
| dc.identifier.oclc | 706714800 | eng |
| dc.identifier.uri | https://doi.org/10.32469/10355/10256 | eng |
| dc.identifier.uri | https://hdl.handle.net/10355/10256 | |
| dc.language | English | eng |
| dc.publisher | University of Missouri--Columbia | eng |
| dc.relation.ispartofcommunity | University of Missouri--Columbia. Graduate School. Theses and Dissertations | eng |
| dc.rights | OpenAccess. | eng |
| dc.rights.license | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License. | |
| dc.subject.lcsh | Sequences (Mathematics) | eng |
| dc.title | On the theory of integer sequences | eng |
| dc.type | Thesis | eng |
| thesis.degree.discipline | Mathematics (MU) | eng |
| thesis.degree.grantor | University of Missouri--Columbia | eng |
| thesis.degree.level | Doctoral | eng |
| thesis.degree.name | Ph. D. | eng |
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