Distribution of primes and dynamics of the \(w\) function

DOI10.1016/j.jnt.2008.02.003zbMath1217.11079OpenAlexW2073975275MaRDI QIDQ958712

Ying Shi, Yong-Gao Chen

Publication date: 8 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.2008.02.003

zbMATH Keywords

dynamicssequencelargest prime factorparent

Mathematics Subject Classification ID

Topological dynamics (37B99) Applications of sieve methods (11N36) Distribution of primes (11N05)

Related Items (3)

Dynamics of Goldring's \(w\)-function ⋮ Dynamics of a function related to the primes ⋮ On the inverse problem relative to dynamics of the \(w\) function

Cites Work

• Dynamics of the \(w\) function and primes
• On integers of the forms \(k\pm 2^{n}\) and \(k2^{n}\pm 1\)
• On integers of the forms \(k-2^n\) and \(k2^n+1\)
• The primes contain arbitrarily long arithmetic progressions
• Dynamics of the $w$ function and the Green-Tao theorem on arithmetic progressions in the primes
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