A reciprocity law in function fields

被引：1

作者：

Hamahata, Yoshinori ^{[1
]}

机构：

[1] Okayama Univ Sci, Dept Appl Math, Ridai Cho 1-1, Okayama 7000005, Japan

来源：

ARCHIV DER MATHEMATIK | 2024年 / 123卷 / 01期

基金：

日本学术振兴会;

关键词：

Power residue symbol; Reciprocity law; Function field; Complex multiplication;

D O I：

10.1007/s00013-024-02006-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：49 / 56

页数：8

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