arXiv:2402.16357 Abstract | arXiv Analytics

arXiv:2402.16357 [math.NT]Abstract References Reviews Resources

Linear recurrent sequences providing decomposition law in number fields

Published 2024-02-26, updated 2024-09-02Version 2

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.

Comments: 16 pages

Categories: math.NT

Subjects: 11R21, 11B37, 20C15

Keywords: linear recurrent sequences, decomposition law, number fields, yamamoto constructed recurrent sequences, explicit description

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