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<p>In their recent paper, Rosen, Takeyama, Tasaka, and Yamamoto constructed recurrent sequences that provide a decomposition law of primes in a Galois extension. In this paper, we reconstruct their sequences via the representation theory of finite groups and obtain an explicit description of the sequences.</p>

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Linear recurrent sequences providing decomposition law in number fields

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年2月7日

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  • Haruto Hori,
  • Masanari Kida

摘要

In their recent paper, Rosen, Takeyama, Tasaka, and Yamamoto constructed recurrent sequences that provide a decomposition law of primes in a Galois extension. In this paper, we reconstruct their sequences via the representation theory of finite groups and obtain an explicit description of the sequences.