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The Ramanujan Journal

, Volume 15, Issue 1, pp 19–30 | Cite as

On pseudorandom properties of some Dirichlet characters

  • Shea-Ming Oon
Article

Abstract

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.

Keywords

Pseudorandom Binary sequence Correlation Dirichlet’s characters 

Mathematics Subject Classification (2000)

11K45 11L40 11K36 11T24 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Institut Elie Cartan de NancyUniversité Henri PoincaréVandœuvre-lès-Nancy CedexFrance

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