Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 73-81
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L. F. Kondakova. Application of the large sieve to the solution of additive problems of mixed type. Matematičeskie zametki, Tome 10 (1971) no. 1, pp. 73-81. http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a10/
@article{MZM_1971_10_1_a10,
author = {L. F. Kondakova},
title = {Application of the large sieve to the solution of additive problems of mixed type},
journal = {Matemati\v{c}eskie zametki},
pages = {73--81},
year = {1971},
volume = {10},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a10/}
}
TY - JOUR
AU - L. F. Kondakova
TI - Application of the large sieve to the solution of additive problems of mixed type
JO - Matematičeskie zametki
PY - 1971
SP - 73
EP - 81
VL - 10
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a10/
LA - ru
ID - MZM_1971_10_1_a10
ER -
%0 Journal Article
%A L. F. Kondakova
%T Application of the large sieve to the solution of additive problems of mixed type
%J Matematičeskie zametki
%D 1971
%P 73-81
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_1_a10/
%G ru
%F MZM_1971_10_1_a10
A variant of the large-sieve: method, using a combination of results obtained by Lavrik, Montgomery, and Eombieri, is employed to derive asymptotic properties of the number of solutions of the equation $N\mathfrak p+N\mathfrak a=n$ where $\mathfrak p$ is a prime ideal of some ideal class of a field $K$ of degree $n\le4$, and $\mathfrak a$ is a prime ideal of a class of an imaginary quadratic field.