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.
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(Received 5 November 1997; in revised form 7 March 2000)
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Mauduit, C., Sárközy, A. On Finite Pseudorandom Binary Sequences, VI,(On Sequences). Mh Math 130, 281–298 (2000). https://doi.org/10.1007/s006050070028
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DOI: https://doi.org/10.1007/s006050070028
- 1991 Mathematics Subject Classification: 11K45
- Key words: Pseudorandom, binary sequence, uniform distribution