Linear recurrent sequences providing decomposition law in number fields

Haruto Hori; Masanari Kida

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arXiv · 2402.16357

Linear recurrent sequences providing decomposition law in number fields

Haruto Hori·Masanari Kida

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Abstract

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

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Haruto Hori, Masanari Kida. 2024-02-26. Linear recurrent sequences providing decomposition law in number fields. https://arxiv.org/abs/2402.16357

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