Linear recurrent sequences providing decomposition law in number fields

Abstract 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.

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Publication Details

Journal
The Ramanujan Journal
Published
2025-02-07
DOI
https://doi.org/10.1007/s11139-024-00961-z
Primary Topic
Coding theory and cryptography
Type
article
Field-Weighted Citation Impact
0.00

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article

Linear recurrent sequences providing decomposition law in number fields

Haruto Hori, Masanari Kida
The Ramanujan Journal
Coding theory and cryptography
article

Linear recurrent sequences providing decomposition law in number fields

Haruto Hori, Masanari Kida
article en

Abstract

Abstract 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.

The Ramanujan JournalVol. 66(3)
Tokyo University of Science (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 99%
Coding theory and cryptography
DOIOpen Access PDFOpenAlex
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Linear recurrent sequences providing decomposition law in number fields — Haruto Hori, Masanari Kida · The Ramanujan Journal (2025) | TGRS Research Map | TGRS