Purely Periodic Nearest Square Continued Fractions
نویسنده
چکیده
We give three sets of conditions to determine whether a real quadratic surd ξ = (P + √ D)/Q has a purely periodic nearest square continued fraction expansion. One set is a few inequalities involving only ξ and its conjugate ξ = (P − √ D)/Q. Another set is a few inequalities involving only P/ √ D and Q/ √ D. A third set of conditions and additional results are presented.
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