Almost primes and the Banks-Martin conjecture

DOI10.1016/j.jnt.2019.11.006zbMath1437.11136arXiv1909.00804OpenAlexW2971556707WikidataQ123269563 ScholiaQ123269563MaRDI QIDQ2308849

Jared Duker Lichtman

Publication date: 3 April 2020

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

Full work available at URL: https://arxiv.org/abs/1909.00804

zbMATH Keywords

prime zeta functionprimitive set\(k\)-almost primeSathe-Selberg theorem

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Evaluation of number-theoretic constants (11Y60) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (6)

Translated sums of primitive sets ⋮ On the critical exponent for \(k\)-primitive sets ⋮ A proof of the Erdős primitive set conjecture ⋮ On the Erdős primitive set conjecture in function fields ⋮ Unnamed Item ⋮ Higher Mertens constants for almost primes

Cites Work

• Unnamed Item
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• Extensions of some formulae of A. Selberg
• The Erdős conjecture for primitive sets
• Sums over primitive sets with a fixed number of prime factors
• Primes in prime number races
• On a Problem of Erdos Concerning Primitive Sequences
• Optimal primitive sets with restricted primes
• Sur des formules de Atle Selberg

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