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Distribution of the sequence modulo 1

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Abstract

Using I. M. Vinogradov's method, one obtains an asymptotic formula regarding the distribution of the fractional parts

where

is a constant and P runs through the prime numbers.

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Authors
  1. E. P. Golubeva
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  2. O. M. Fomenko
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Additional information

This paper is dedicated to Askol'd Ivanovich Vinogradov on the occasion of this 50th birthday.

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 91, pp. 31–39, 1979.

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Golubeva, E.P., Fomenko, O.M. Distribution of the sequence modulo 1. J Math Sci 17, 2102–2107 (1981). https://doi.org/10.1007/BF01567589

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