Barban-Davenport-Halberstam average sum and exceptional zero of \(L\)-functions

DOI10.1016/J.JNT.2007.08.003zbMath1182.11041OpenAlexW1987494994MaRDI QIDQ958671

B. E. Eshmatov

Publication date: 5 December 2008

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.08.003

zbMATH Keywords

circle methodSiegel zeroprimes in arithmetic progressionslarge sieveBarban-Davenport-Halberstam theoremzero-density estimates for Dirichlet \(L\)-functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36)

Related Items (2)

A generalization of the Barban-Davenport-Halberstam theorem to number fields ⋮ Moments of moments of primes in arithmetic progressions

Cites Work

• Unnamed Item
• A large sieve density estimate near \(\sigma = 1\)
• On the Barban-Davenport-Halberstam theorem. I.
• On the Barban-Davenport-Halberstam Theorem-II
• On the Barban-Davenport-Halberstam theorem: XIII
• The large sieve
• THE 'LARGE SIEVE' METHOD AND ITS APPLICATIONS IN THE THEORY OF NUMBERS
• Primes in arithmetic progressions
• Primes in arithmetic progressions

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