Geodesic
Representation of large numbers by ternary quadratic forms
Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 43-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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Assuming a nontrivial displacement of the zeros of Dirichlet $L$-functions with quadratic characters, the author obtains asymptotic formulas for the number of lattice points in regions on the surface $n=f(x,y,z)$ $(n\to\infty)$, where $f(x,y,z)$ is an arbitrary nondegenerate integral quadratic form, $n\ne n_1n_2^2$, and $n_1$ is a divisor of twice the discriminant of $f$. The cases of an ellipsoid, a two-sheeted hyperboloid, and a one-sheeted hyperboloid are examined in a uniform way. Bibliography: 25 titles. 
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     title = {Representation of large numbers by ternary quadratic forms},
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E. P. Golubeva. Representation of large numbers by ternary quadratic forms. Sbornik. Mathematics, Tome 57 (1987) no. 1, pp. 43-56. http://geodesic.mathdoc.fr/item/SM_1987_57_1_a2/

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