Linear recurrent sequences providing decomposition law in number fields
Number Theory
2024-11-12 v4
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.
Cite
@article{arxiv.2402.16357,
title = {Linear recurrent sequences providing decomposition law in number fields},
author = {Haruto Hori and Masanari Kida},
journal= {arXiv preprint arXiv:2402.16357},
year = {2024}
}
Comments
16 pages