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On pseudo-random subsets of \({\mathbb Z _n}\)

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Abstract

The notion of pseudo-randomness of subsets of \({\mathbb Z_n}\) is defined, and the measures of pseudo-randomness are introduced. Then a construction (based on the use of hybrid character sums) will be presented for subsets of \({\mathbb Z_p}\) with strong pseudo-random properties.

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Authors and Affiliations

  1. Institut Élie Cartan, Université Henri Poincaré-Nancy 1, BP 239, 54506, Vandœuvre Cedex, France

    Cécile Dartyge

  2. Department of Algebra and Number Theory, Eötvös Loránd University, Pf. 120, 1117 Budapest, Pazmany Péter Sétany 1/C, 1518, Budapest, Hungary

    András Sárközy

Authors
  1. Cécile Dartyge
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  2. András Sárközy
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Corresponding author

Correspondence to Cécile Dartyge.

Additional information

Communicated by J. Schoißengeier.

A. Sárközy’s research was partially supported by the Hungarian National Foundation for Scientific Research, Grant K 67676 and T049693.

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Dartyge, C., Sárközy, A. On pseudo-random subsets of \({\mathbb Z _n}\) . Monatsh Math 157, 13–35 (2009). https://doi.org/10.1007/s00605-008-0072-0

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