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Multidimensional system of Diophantine equations

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Abstract

An asymptotics for the number of solutions to a system of three Diophantine equations of additive type in six variables is found. Each additive summand of these equations is a simplest form whose degree in each variable does not exceed 1.

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References

  1. L. K. Hua, “On the Number of Solutions of Larry’s Problem,” Acta Scientia Sinica, No. 1, 1 (1952).

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  2. G. I. Arkhipov, A. A. Karatsuba, and V. N. Chubarikov, Theory of Multiple Trigonometric Sums (Nauka, Moscow, 1987) [in Russian].

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    R. V. Pocherevin

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  1. R. V. Pocherevin
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Correspondence to R. V. Pocherevin.

Additional information

Original Russian Text © R.V. Pocherevin, 2017, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2017, Vol. 72, No. 1, pp. 68–71.

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Cite this article

Pocherevin, R.V. Multidimensional system of Diophantine equations. Moscow Univ. Math. Bull. 72, 41–43 (2017). https://doi.org/10.3103/S0027132217010089

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  • DOI: https://doi.org/10.3103/S0027132217010089

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