The Distribution of αp Modulo One

DOI10.1112/plms/84.1.79zbMath1023.11034OpenAlexW2153740468MaRDI QIDQ2766442

Chaohua Jia, D. R. Heath-Brown

Publication date: 28 January 2002

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/84.1.79

Mathematics Subject Classification ID

Applications of sieve methods (11N36) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (19)

The distribution of αp modulo one ⋮ Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly) ⋮ Diophantine approximation on lines in \(\mathbb {C}^2\) with Gaussian prime constraints ⋮ Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ Zeros of dirichlet L‐functions near the critical line ⋮ Counting primes ⋮ RESTRICTED SIMULTANEOUS DIOPHANTINE APPROXIMATION ⋮ 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 ⋮ Diophantine approximation with prime restriction in real quadratic number fields ⋮ Diophantine approximation with products of two primes ⋮ Pair correlation of rationals with prime denominators ⋮ Approximating reals by sums of two rationals ⋮ Diophantine approximation with restricted numerators and denominators on semisimple groups ⋮ Diophantine approximation with mild divisibility constraints ⋮ Inhomogeneous Diophantine approximation with prime constraints ⋮ Distribution of \(\alpha p^2\) modulo one with prime variable \(p\) of a special form ⋮ On the distribution of αp modulo one for primes p of a special form ⋮ Distribution of $\alpha n +\beta $ modulo 1 over integers free from large and small primes

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