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<p>We show how to obtain, via a unified framework provided by logic and automata theory, many classical results of Brillhart and Morton on Rudin-Shapiro sums. The techniques also facilitate easy proofs for new results.</p>

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Rudin-Shapiro Sums Via Automata Theory and Logic

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月24日

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  • Narad Rampersad,
  • Jeffrey Shallit

摘要

We show how to obtain, via a unified framework provided by logic and automata theory, many classical results of Brillhart and Morton on Rudin-Shapiro sums. The techniques also facilitate easy proofs for new results.