On Irregularities of Distribution of Binary Sequences Relative to Arithmetic Progressions, II (Constructive Bounds)
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25 ene 2019
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Publicado en línea: 25 ene 2019
Páginas: 1 - 21
Recibido: 20 dic 2016
Aceptado: 11 nov 2017
DOI: https://doi.org/10.2478/udt-2018-0008
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© 2018 Cécile Dartyge et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
In Part I of this paper we studied the irregularities of distribution of binary sequences relative to short arithmetic progressions. First we introduced a quantitative measure for this property. Then we studied the typical and minimal values of this measure for binary sequences of a given length. In this paper our goal is to give constructive bounds for these minimal values.