Abstract
In the present note Bombieri's central theorem concerning the average distribution of the prime numbers in arithmetic progressions is generalized to arbitrary algebraic number fields.
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Translated from Matematicheskie Zametki, Vol. 2, No. 6, pp. 673–680, December, 1967.
Finally, I express my profound gratitude to B. V. Levin for setting the problem and the help he rendered and to A. I. Vinogradov for valuable suggestions.
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Samandarov, A.G. On the large sieve in algebraic number fields. Mathematical Notes of the Academy of Sciences of the USSR 2, 896–900 (1967). https://doi.org/10.1007/BF01473474
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DOI: https://doi.org/10.1007/BF01473474