Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 27-37
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E. P. Golubeva. Waring's problem for a ternary quadratic form and an arbitrary even power. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 6, Tome 144 (1985), pp. 27-37. http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a2/
@article{ZNSL_1985_144_a2,
author = {E. P. Golubeva},
title = {Waring's problem for a ternary quadratic form and an arbitrary even power},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {27--37},
year = {1985},
volume = {144},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a2/}
}
TY - JOUR
AU - E. P. Golubeva
TI - Waring's problem for a ternary quadratic form and an arbitrary even power
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 27
EP - 37
VL - 144
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a2/
LA - ru
ID - ZNSL_1985_144_a2
ER -
%0 Journal Article
%A E. P. Golubeva
%T Waring's problem for a ternary quadratic form and an arbitrary even power
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 27-37
%V 144
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_144_a2/
%G ru
%F ZNSL_1985_144_a2
One obtains asymptotic formulas for the number of solutions of the equation $n=f(x, y, z)+w^{2k}$, where $f$ is a primitive integral quadratic form. One gives an estimate of the remainder, having a logarithmic reducing factor in the general case and a powerlike one when $f(x ,y, z)=x^2+y^2+z^2$.
