We give a brief account of the general analytic theory of continued fractions and state and prove the Lorentzen bestness theorem. We investigate the possibility of a new proof of the Lorentzen bestness theorem and gives a related convergence theorem together with a conjecture. We explore some connections between the limit-periodic continued fractions and other parts of mathematics and we give a few suggestions of topics suitable for further research.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:ntnu-9678 |
| Date | January 2008 |
| Creators | Voll, Nils Gaute |
| Publisher | Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, Institutt for matematiske fag |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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