A Brun–Titchmarsh inequality for weighted sums over prime numbers

DOI10.4064/aa166-3-5zbMath1317.11100arXiv1410.7561OpenAlexW2007523335MaRDI QIDQ2931196

Jan Büthe

Publication date: 24 November 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.7561

zbMATH Keywords

weighted sieveweighted sumsum over primesBrun-Titchmarsh inequalityslowly varying weightweighted Selberg sieve

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Primes in congruence classes (11N13)

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Cites Work

• Bounding \(S(t)\) and \(S_1(t)\) on the Riemann hypothesis
• Explicit estimates for summatory functions linked to the Möbius \(\mu\)-function
• The large sieve