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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1971, Volume 10, Issue 1, Pages 73–81 (Mi mz7070)

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.

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

Bibliographic databases:

UDC: 511

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

Citation in format AMSBIB
\Bibitem{Kon71}
\by L.~F.~Kondakova
\paper Application of the large sieve to the solution of additive problems of mixed type
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 1
\pages 73--81
\mathnet{http://mi.mathnet.ru/mz7070}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=292790}
\zmath{https://zbmath.org/?q=an:0253.10039}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 1
\pages 468--473
\crossref{https://doi.org/10.1007/BF01747073}