Abstract
In the classical case, reciprocity laws for power residue symbols are called rational, which means that the power residue symbols only assume the values \({\pm 1}\) and have entries in \({\mathbb{Z}}\). We establish a rational reciprocity law over function fields.
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Hamahata, Y. A rational reciprocity law over function fields. Arch. Math. 108, 233–240 (2017). https://doi.org/10.1007/s00013-016-0990-3
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DOI: https://doi.org/10.1007/s00013-016-0990-3