A Barban-Davenport-Halberstam asymptotic for number fields

DOI10.1090/S0002-9939-10-10303-7zbMath1193.11088arXiv1210.3863OpenAlexW3105029102MaRDI QIDQ3574804

Ethan Smith

Publication date: 2 July 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.3863

zbMATH Keywords

Barban-Davenport-Halberstam theoremgeneralized Siegel-Walfisz theorem

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of prime ideals (11R44)

Related Items (4)

Moments of moments of primes in arithmetic progressions ⋮ Disproving Hooley's conjecture ⋮ Average Frobenius distribution for elliptic curves defined over finite Galois extensions of the rationals ⋮ A VARIANT OF THE BARBAN–DAVENPORT– HALBERSTAM THEOREM

Cites Work

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• A generalization of the Barban-Davenport-Halberstam theorem to number fields
• On the theorem of Barban and Davenport-Halberstam in algebraic number fields
• On the Barban-Davenport-Halberstam Theorem: IV
• The large sieve in algebraic number fields
• A Generalization of the Siegel-Walfisz Theorem
• Primes in arithmetic progressions
• Corrigendum
• Primes in arithmetic progressions

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