On pseudorandom properties of some Dirichlet characters
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In this paper, we try to generalize the Mauduit–Sárközy pseudorandom properties of the Legendre symbol to Dirichlet characters. We prove that in our construction the well-distribution and correlation measures are as “small” as in the case of the Legendre symbol. Furthermore we provide with sufficient conditions to ensure the coincidence of two binary sequences using the Legendre symbol.
KeywordsPseudorandom Binary sequence Correlation Dirichlet’s characters
Mathematics Subject Classification (2000)11K45 11L40 11K36 11T24
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