A rational reciprocity law over function fields

In the classical case, reciprocity laws for power residue symbols are called rational, which means that the power residue symbols only assume the values ± 1 and have entries in Z . We establish a rational reciprocity law over function fields.

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Veröffentlicht in:	Archiv der Mathematik 2017-03, Vol.108 (3), p.233-240
1. Verfasser:	Hamahata, Yoshinori
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics Reciprocity Symbols
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creator	Hamahata, Yoshinori
description	In the classical case, reciprocity laws for power residue symbols are called rational, which means that the power residue symbols only assume the values ± 1 and have entries in Z . We establish a rational reciprocity law over function fields.
doi_str_mv	10.1007/s00013-016-0990-3
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subjects	Mathematics Mathematics and Statistics Reciprocity Symbols
title	A rational reciprocity law over function fields
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