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On Waring's Problem for Six Cubes and Higher Degrees

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Abstract

It is proved that the equation

$$n = x_{\,1}^3 + x_{\,2}^3 + x_{\,3}^3 + x_{\,4}^3 + x_{\,5}^3 + x_{\,6}^3 + u^4 + v^9$$

has nonnegative integral solutions if \(n \equiv 1\left( {\bmod 5} \right)\)is even and sufficiently large. Bibliography: 8 titles.

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Golubeva, E.P. On Waring's Problem for Six Cubes and Higher Degrees. Journal of Mathematical Sciences 110, 3048–3051 (2002). https://doi.org/10.1023/A:1015412009559

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