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Asymptotic formula for the sum of the sums of elements of the continued fractions for numbers of the form a/p

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Abstract

One obtains an asymptotic formula for the sum of the sums of the elements of the continued fractions for numbers of the forma/p (p is a prime number).

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Literature cited

  1. A. Ya. Khinchin, Continued Fractions, University of Chicago Press, Chicago (1964).

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Authors
  1. V. N. Popov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 81–93, 1979.

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Popov, V.N. Asymptotic formula for the sum of the sums of elements of the continued fractions for numbers of the form a/p. J Math Sci 17, 2137–2147 (1981). https://doi.org/10.1007/BF01567592

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  • DOI: https://doi.org/10.1007/BF01567592

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