On the distribution of \(\alpha p\) modulo one. II

DOI10.1007/BF02878436zbMath0982.11039OpenAlexW1063185402MaRDI QIDQ1589773

Chaohua Jia

Publication date: 10 May 2001

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02878436

zbMATH Keywords

sieve methodprime numbersBuchstab's identity

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Diophantine inequalities (11J25) Distribution of primes (11N05) Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60)

Related Items (7)

Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly) ⋮ Counting primes ⋮ On the distribution of \(\alpha p\) modulo one for primes \(p\) of a special form ⋮ On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one ⋮ Pair correlation of rationals with prime denominators ⋮ Distribution of \(\alpha p^2\) modulo one with prime variable \(p\) of a special form ⋮ Distribution of $\alpha n +\beta $ modulo 1 over integers free from large and small primes

Cites Work

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• On the distribution of \(p^{\theta}\,mod\,1\)
• On the distribution of \(\alpha p\) modulo one
• On Pjateckiĭ-Šapiro prime number theorem. II
• On the distribution of αp modulo 1
• On the Distribution of αp; Modulo One
• Almost all short intervals containing prime numbers
• On the Distribution of αp Modulo One II

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