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On the Distribution of αp Modulo One in Quadratic Number Fields Cover

On the Distribution of αp Modulo One in Quadratic Number Fields

Uniform distribution theory
Volume 16 (2021): Issue 2 (December 2021)
By: Stephan Baier,  Dwaipayan Mazumder and  Marc Technau  
Open Access
|Feb 2022
DOI: https://doi.org/10.2478/udt-2021-0006 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
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Language: English
Page range: 1 - 48
Submitted on: Apr 27, 2021
|
Accepted on: Aug 12, 2021
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Published on: Feb 2, 2022
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year
Keywords:
distribution modulo one,
Diophantine approximation,
sieve methods,
sums over primes,
quadratic field,
smoothed sum,
Poisson summation
Related subjects:
Mathematics,
Algebra and number theory,
Discrete mathematics,
Probability and statistics,
Numerical and computational mathematics

© 2022 Stephan Baier, Dwaipayan Mazumder, Marc Technau, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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