Waring's problem for six cubes and higher powers
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 34-39
E. P. Golubeva. Waring's problem for six cubes and higher powers. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 16, Tome 263 (2000), pp. 34-39. http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a3/
@article{ZNSL_2000_263_a3,
     author = {E. P. Golubeva},
     title = {Waring's problem for six cubes and higher powers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {34--39},
     year = {2000},
     volume = {263},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_263_a3/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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 $n\equiv1\pmod5$ is even and sufficiently large.