Abstract
Let d be a non-square positive integer such that the period of the continued fraction expansion of \(\sqrt{d}\) is even. We give some relations between some properties of partial quotients of the continued fraction expansion of \(\sqrt{d}\), which emerge from numerical experiments.
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The second author was partially supported by Grant-in-Aid for Scientific Research (C), No. 23540019, Japan Society for the Promotion of Science.
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Kawamoto, F., Kishi, Y. & Tomita, K. On some properties of partial quotients of the continued fraction expansion of \(\sqrt{d}\) with even period. Arch. Math. 114, 649–660 (2020). https://doi.org/10.1007/s00013-020-01434-7
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DOI: https://doi.org/10.1007/s00013-020-01434-7