On some properties of partial quotients of the continued fraction expansion of $$sqrt{d}$$d with even period
Archiv der Mathematik(2020)
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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Key words
Continued fractions, Real quadratic fields, Class numbers, Primary 11A55, Secondary 11R11, 11R29, 11R27
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