On the theorem of Barban and Davenport-Halberstam in algebraic number fields
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Publication:1158208
DOI10.1016/0022-314X(81)90038-XzbMath0472.12012MaRDI QIDQ1158208
Publication date: 1981
Published in: Journal of Number Theory (Search for Journal in Brave)
Density theorems (11R45) Primes in congruence classes (11N13) Algebraic numbers; rings of algebraic integers (11R04) Sieves (11N35)
Related Items (10)
A Bombieri-type theorem for convolution with application on number field ⋮ A generalization of the Barban-Davenport-Halberstam theorem to number fields ⋮ On Siegel zeros of Hecke-Landau zeta-functions ⋮ A note on a Bombieri-type result in algebraic prime number theory ⋮ A Barban-Davenport-Halberstam asymptotic for number fields ⋮ Square-free values of cubic polynomials in algebraic number fields ⋮ Some applications of sieve methods in algebraic number fields ⋮ Bounded gaps between primes in number fields and function fields ⋮ On the representation of even integers as sums of two almost‐primes in algebraic number fields ⋮ Über die Verteilung von primen primitiven Wurzeln in algebraischen Zahlkörpern. (On the distribution of prime primitive roots in algebraic number fields)
Cites Work
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- On the Goldbach problem in an algebraic number field
- On the large sieve method in algebraic number fields
- Verallgemeinerung der Siebmethode von A. Selberg auf algebraische Zahlkörper. III.
- On the Barban-Davenport-Halberstam theorem. I.
- The large sieve
- The large sieve inequality for algebraic number fields
- The large sieve in algebraic number fields
- THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS
- On the zeros of Hecke's L-functions III
- Primes in arithmetic progressions
- Primes in arithmetic progressions
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