Gaps between primes in Beatty sequences

DOI10.4064/AA7993-1-2016zbMath1350.11008arXiv1411.2989OpenAlexW2963509409MaRDI QIDQ2787082

Liangyi Zhao, Roger C. Baker

Publication date: 24 February 2016

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

Full work available at URL: https://arxiv.org/abs/1411.2989

zbMATH Keywords

Beatty sequencesGPY sievebounded gaps in the primesHarman sieve

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Sums over primes (11L20) Sieves (11N35)

Related Items (10)

Bounded intervals containing many primes ⋮ Sparse sets that satisfy the prime number theorem ⋮ The Bombieri-Vinogradov theorem for nilsequences ⋮ Primes in floor function sets ⋮ The twin prime conjecture ⋮ Patterns of primes in the Sato-Tate conjecture ⋮ On a sum involving the Euler function ⋮ A generalization of Piatetski-Shapiro sequences ⋮ Primes with Beatty and Chebotarev conditions ⋮ Smooth numbers in Beatty sequences

Cites Work

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• Variants of the Selberg sieve, and bounded intervals containing many primes
• Bounded gaps between primes
• Dense clusters of primes in subsets
• Bounded gaps between primes in special sequences
• Prime numbers with Beatty sequences
• Small gaps between products of two primes
• CHARACTER SUMS WITH PIATETSKI-SHAPIRO SEQUENCES
• A ternary Diophantine inequality over primes
• Small gaps between primes

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