Geodesic
A bound for the representability of large numbers by ternary quadratic forms and nonhomogeneous Waring equations
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 23, Tome 357 (2008), pp. 5-21 
E. P. Golubeva. A bound for the representability of large numbers by ternary quadratic forms and nonhomogeneous Waring equations. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 23, Tome 357 (2008), pp. 5-21. http://geodesic.mathdoc.fr/item/ZNSL_2008_357_a0/
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     author = {E. P. Golubeva},
     title = {A bound for the representability of large numbers by ternary quadratic forms and nonhomogeneous {Waring} equations},
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     year = {2008},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_357_a0/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

It is proved that equation $n=x^2+y^2+6pz^2$ ($p$ is a large fixed prime) is solvable if natural congruencial conditions are satisfied and $nm^{12}>p^{21}$. As a consequence the solvability of the equation $n=x^2+y^2+u^3+v^3+z^4+w^{16}+t^{4k+1}$ is proved for all sufficiently large $n$. Bibl. – 13 titles.

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