A higher rank Selberg sieve with an additive twist and applications

DOI10.7169/facm/1622zbMath1427.11088OpenAlexW2601996992MaRDI QIDQ1746241

Akshaa Vatwani, M. Ram Murty

Publication date: 24 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1490688022

zbMATH Keywords

almost prime \(k\)-tuplesthe Selberg sieve

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution of primes (11N05) Sieves (11N35)

Related Items (3)

A remark on the Lang-Trotter and Artin conjectures ⋮ Variants of equidistribution in arithmetic progression and the twin prime conjecture ⋮ A Smooth Selberg Sieve and Applications

Cites Work

• Variants of the Selberg sieve, and bounded intervals containing many primes
• Primes in tuples. I
• Bounded length intervals containing two primes and an almost-prime. II
• Bounded gaps between primes
• On almost prime \(k\)-tuples
• An Asymptotic Formula in the Theory of Numbers
• Bounded Gaps Between Primes of a Special Form
• The divisor function over arithmetic progressions
• Almost‐prime k ‐tuples
• Small gaps between primes
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