Linear recurrent sequences providing decomposition law in number fields

2024/02/26 by Haruto Hori, Hori, Haruto, Masanari Kida +1
Computer Science · #11B37 #11R21 #20C15 #Cellular Automata and Applications #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2402.16357

openalex publication_date 2024/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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