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An asymptotic formula for the sum of the lengths of the periods of quadratic irrationalities with discriminant

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Abstract

On the basis of B. F. Skubenko's theorem on the uniform distribution of integral points on a hyperboloid with one sheet, one obtains an asymptotic formula for the sum of the lengths of the periods of quadratic irrationalities with discriminant

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Authors
  1. L. A. Takhtadzhyan
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 134–144, 1979.

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Takhtadzhyan, L.A. An asymptotic formula for the sum of the lengths of the periods of quadratic irrationalities with discriminant . J Math Sci 17, 2173–2181 (1981). https://doi.org/10.1007/BF01567596

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  • DOI: https://doi.org/10.1007/BF01567596

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