A rational reciprocity law over function fields

被引：0
作者：
Yoshinori Hamahata
机构：
[1] Okayama University of Science,Department of Applied Mathematics
来源：
Archiv der Mathematik | 2017年 / 108卷
关键词：
Power residues; Rational reciprocity law; Function fields; Primary 11A15; Secondary 11R58;
D O I：
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学科分类号：
摘要：
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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\pm 1}$$\end{document} and have entries in Z\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{Z}}$$\end{document}. We establish a rational reciprocity law over function fields.
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页码：233 / 240
页数：7
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