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On the pseudorandom properties of subsets constructed by using primitive roots

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Abstract

Dartyge and Sárközy (partly with other coauthors) introduced pseudorandom measures of subsets, and studied the pseudorandomness of certain subsets related to primitive roots. In this paper we answer a conjecture of Dartyge, Sárközy and Szalay, and study the pseudorandom properties of some subsets constructed by using primitive roots.

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Acknowledgements

The authors express their gratitude to the referee for his/her helpful and detailed comments.

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Correspondence to Huaning Liu.

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This work is supported by the National Natural Science Foundation of China under Grant No. 11571277, and the Science and Technology Program of Shaanxi Province of China under Grant No. 2019JM-573 and 2020JM-026.

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Liu, H., Jing, M. On the pseudorandom properties of subsets constructed by using primitive roots. Ramanujan J 56, 533–553 (2021). https://doi.org/10.1007/s11139-020-00317-3

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  • DOI: https://doi.org/10.1007/s11139-020-00317-3

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