On the Convergence of Limit-Periodic Continued Fractions
Master thesis
Permanent lenke
http://hdl.handle.net/11250/258412Utgivelsesdato
2008Metadata
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Sammendrag
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.