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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1971 Volume 10, Issue 1, Pages 73–81 (Mi mzm7070)

Application of the large sieve to the solution of additive problems of mixed type

L. F. Kondakova

Samara State Teacher's Training University

Abstract: 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.

UDC: 511

Received: 30.03.1970


 English version:
Mathematical Notes, 1971, 10:1, 468–473

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© Steklov Math. Inst. of RAS, 2024