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arXiv · 2208.11381

The ring of finite algebraic numbers and its application to the law of decomposition of primes

Julian Rosen·Yoshihiro Takeyama·Koji Tasaka·Shuji Yamamoto
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Abstract

In this paper, we develop an explicit method to express finite algebraic numbers (in particular, certain idempotents among them) in terms of linear recurrent sequences, and give applications to the characterization of the splitting primes in a given finite Galois extension over the rational field.

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Julian Rosen, Yoshihiro Takeyama, Koji Tasaka, Shuji Yamamoto. 2022-08-24. The ring of finite algebraic numbers and its application to the law of decomposition of primes. https://arxiv.org/abs/2208.11381

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