On the distribution of \(\alpha p\) modulo one in imaginary quadratic number fields with class number one
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Publication:2219655
DOI10.5802/jtnb.1141zbMath1459.11148arXiv1905.07623OpenAlexW3118982986MaRDI QIDQ2219655
Publication date: 20 January 2021
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07623
Diophantine approximationimaginary quadratic fieldPoisson summationdistribution modulo onesmoothed sum
Estimates on exponential sums (11L07) Sums over primes (11L20) Diophantine approximation in probabilistic number theory (11K60) Approximation by numbers from a fixed field (11J17)
Related Items (6)
On the distribution of \(\alpha p\) modulo one in quadratic number fields ⋮ Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly) ⋮ A Bombieri–Vinogradov-type theorem with prime power moduli ⋮ Some problems about friable numbers in Piatetski-Shapiro sequence ⋮ Diophantine approximation with prime denominator in real quadratic function fields ⋮ Diophantine approximation with prime restriction in real quadratic number fields
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