A Montgomery-Hooley type theorem for prime \(k\)-tuplets

DOI10.1007/BF01874284zbMath0869.11069OpenAlexW2029207017MaRDI QIDQ1804761

Koichi Kawada

Publication date: 16 July 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01874284

zbMATH Keywords

asymptotic formulavon Mangoldt functionBarban-Davenport-Halberstam theoremaverage mean square estimateprime k-tuples in long arithmetic progressions

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Primes in congruence classes (11N13)

Related Items (2)

Moments of moments of primes in arithmetic progressions ⋮ Fourier uniformity of bounded multiplicative functions in short intervals on average

Cites Work

• Unnamed Item
• The prime \(k\)-tuplets in arithmetic progressions
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• On the Barban-Davenport-Halberstam theorem. I.
• 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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