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math.NT2025
A note on the second supplementary law of rational power residue symbols
Yoshinosuke Hirakawa, Tomokazu Kashio, Ryutaro Sekigawa +2
As a natural generalization of the Legendre symbol, the -th power residue symbol is defined for primes and with . In this paper, we generali…
math.NT2019★ 1 cited
The characterization of cyclic cubic fields with power integral bases
Tomokazu Kashio, Ryutaro Sekigawa
We provide an equivalent condition for the monogenity of the ring of integers of any cyclic cubic field. We show that if a cyclic cubic field is monogenic then it is a simplest cub…