A reciprocity law in function fields

A reciprocity law in function fields

We generalize Gauss’ lemma over function fields, and establish a reciprocity law for power residue symbols. As an application, a reciprocity law for power residue symbols is established in totally imaginary function fields.

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Bibliographische Detailangaben
Veröffentlicht in:Archiv der Mathematik 2024, Vol.123 (1), p.49-56
1. Verfasser: Hamahata, Yoshinori
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Reciprocity
Residues
Symbols
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Beschreibung
Zusammenfassung:We generalize Gauss’ lemma over function fields, and establish a reciprocity law for power residue symbols. As an application, a reciprocity law for power residue symbols is established in totally imaginary function fields.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-024-02006-9