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 $q$-th power residue symbol $(a/p{)}_q$ is defined for primes $p$ and $q$ with $p\equiv 1\mathrm{mod}q$. In this paper, we generali…