Skip to main content

On Finite Pseudorandom Binary Sequences, VI,(On Sequences)

Abstract.

 Let K be a positive integer and α be a real number, and for let if the fractional part of is , and if it is . The pseudorandom properties of the sequence are studied. As measures of pseudorandomness, the regularity of the distribution relative to arithmetic progressions and the correlation are used. In a previous paper the authors studied the special cases and , while here the case is considered.

This is a preview of subscription content, access via your institution.

Author information

Authors and Affiliations

Authors

Additional information

(Received 5 November 1997; in revised form 7 March 2000)

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Mauduit, C., Sárközy, A. On Finite Pseudorandom Binary Sequences, VI,(On Sequences). Mh Math 130, 281–298 (2000). https://doi.org/10.1007/s006050070028

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s006050070028

  • 1991 Mathematics Subject Classification: 11K45
  • Key words: Pseudorandom, binary sequence, uniform distribution