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An asymptotic formula for the sum of the lengths of the periods of quadratic irrationalities with discriminant[InlineEquation not available: see fulltext.]

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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[Figure not available: see fulltext.].

Original languageEnglish
Pages (from-to)2173-2181
Number of pages9
JournalJournal of Soviet Mathematics
Volume17
Issue number5
DOIs
StatePublished - Nov 1981

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