We investigate and refine a device which we introduced in [3] for the study of continued fractions. This allows us to more easily compute the period lengths of certain continued fractions and it can be used to suggest some aspects of the cycle structure (see [1]) within the period of certain continued fractions related to underlying real quadratic fields.
@article{JTNB_1992__4_1_19_0, author = {Mollin, Richard A. and Williams, H. C.}, title = {On the period length of some special continued fractions}, journal = {Journal de Th\'eorie des Nombres de Bordeaux}, pages = {19--42}, publisher = {Universit\'e Bordeaux I}, volume = {4}, number = {1}, year = {1992}, zbl = {0766.11003}, mrnumber = {1183916}, language = {en}, url = {http://www.numdam.org/item/JTNB_1992__4_1_19_0/} }
TY - JOUR AU - Mollin, Richard A. AU - Williams, H. C. TI - On the period length of some special continued fractions JO - Journal de Théorie des Nombres de Bordeaux PY - 1992 DA - 1992/// SP - 19 EP - 42 VL - 4 IS - 1 PB - Université Bordeaux I UR - http://www.numdam.org/item/JTNB_1992__4_1_19_0/ UR - https://zbmath.org/?q=an%3A0766.11003 UR - https://www.ams.org/mathscinet-getitem?mr=1183916 LA - en ID - JTNB_1992__4_1_19_0 ER -
Mollin, R. A.; Williams, H. C. On the period length of some special continued fractions. Journal de Théorie des Nombres de Bordeaux, Tome 4 (1992) no. 1, pp. 19-42. http://www.numdam.org/item/JTNB_1992__4_1_19_0/
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