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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.
Received: 30.03.1970
Citation:
L. F. Kondakova, “Application of the large sieve to the solution of additive problems of mixed type”, Mat. Zametki, 10:1 (1971), 73–81; Math. Notes, 10:1 (1971), 468–473
Linking options:
https://www.mathnet.ru/eng/mzm7070 https://www.mathnet.ru/eng/mzm/v10/i1/p73
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