Continued Fractions and Series

Explicit formulae are given relating continued fractions with almost periodic or almost symmetric patterns in their partial quotients, and infinite series whose terms satisfy certain recurrence relations. For quadratic irrationals, the continued fraction expansions for successive approximations give...

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Bibliographic Details
Published in:	Journal of number theory Vol. 54; no. 2; pp. 309 - 317
Main Authors:	Clemens, L.E., Merrill, K.D., Roeder, D.W.
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-10-1995
Online Access:	Get full text
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Summary:	Explicit formulae are given relating continued fractions with almost periodic or almost symmetric patterns in their partial quotients, and infinite series whose terms satisfy certain recurrence relations. For quadratic irrationals, the continued fraction expansions for successive approximations given by Newton′s method are described.
ISSN:	0022-314X 1096-1658
DOI:	10.1006/jnth.1995.1121