On the distribution of \(\alpha p\) modulo one in quadratic number fields

DOI10.2478/udt-2021-0006zbMath1491.11069arXiv2104.13170OpenAlexW4210394201WikidataQ114041265 ScholiaQ114041265MaRDI QIDQ2129363

Marc Technau, Stephan Baier, Dwaipayan Mazumder

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.13170

zbMATH Keywords

Diophantine approximationquadratic fieldsieve methodsPoisson summationsums over primesdistribution modulo onesmoothed sum

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of sieve methods (11N36) Sums over primes (11L20) Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60) Sieves (11N35) Approximation by numbers from a fixed field (11J17)

Related Items (3)

Diophantine approximation with prime restriction in function fields (with an appendix by Arijit Ganguly) ⋮ Some problems about friable numbers in Piatetski-Shapiro sequence ⋮ Diophantine approximation with prime denominator in real quadratic function fields

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