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On Real Quadratic Number Fields Related With A Specific Type of Continued Fraction Expansions |
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PP: 85-90 |
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doi:10.18576/jant/040201
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Author(s) |
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Ozen OZER,
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Abstract |
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| The present paper deals with classifying the real quadratic number fields k = Q(√d) having specific continued fraction
expansion of the integral basis element where d ≡ 2, 3(mod4) is a square free positive integer. Certain parametric representations are
determined to calculate fundamental unit ǫd = td + ud√d /2 i 1 of such real quadratic number fields as well as the parametrized
forms of d. Moreover, Yokoi’s d-invariants nd and md in the relation to continued fraction expansion of wd are mentioned by using
coefficients of fundamental unit for such real quadratic fields. All results are concluded in the tables. |
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