A rational reciprocity law over function fields

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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Beschreibung
Zusammenfassung: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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-016-0990-3