The first and second moments for the length of the period of the continued fraction expansion for d$\sqrt {d}$
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DOI: 10.1112/mtk.12273
Abstract: Let d$d$ be any positive and non‐square integer. We prove an upper bound for the first two moments of the length T(d)$T(d)$ of the period of the continued fraction expansion for d$\sqrt {d}$ . This… read more here.
Keywords: fraction expansion; period continued; length period; continued fraction ... See more keywords