Primes of the form \(\lfloor \alpha p+\beta \rfloor\)

DOI10.1016/j.jnt.2009.03.009zbMath1200.11077arXiv0803.1740OpenAlexW2316855654MaRDI QIDQ838443

Hao Pan, Hongze Li

Publication date: 26 August 2009

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

Full work available at URL: https://arxiv.org/abs/0803.1740

zbMATH Keywords

primestwin primesalmost-allreal linear form

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Distribution of primes (11N05)

Related Items (4)

k-Free numbers and integer parts of αp ⋮ Distribution of the primes involving the ceiling function ⋮ A note on primes of the form \(\lfloor\alpha p+\beta\rfloor\) ⋮ A short note on some arithmetical properties of the integer part of alpha p

Cites Work

• Metric diophantine approximation with two restricted variables. III: Two prime numbers
• Prime numbers with Beatty sequences
• On a conjecture of Yiming Long
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