Hyperelliptic curves and values of Gaussian hypergeometric series

被引：0
作者：
Rupam Barman
Gautam Kalita
Neelam Saikia
机构：
[1] Indian Institute of Technology,Department of Mathematics
[2] Darrang College,Department of Mathematics
来源：
Archiv der Mathematik | 2014年 / 102卷
关键词：
11G20; 33C20; Elliptic curves; Hyperelliptic curves; Gaussian hypergeometric series; Trace of Frobenius;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We express the number of Fq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{F}_q}$$\end{document} -points on the hyperelliptic curve αy2=βxf+γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\alpha{y}^2=\beta{x}^f + \gamma}$$\end{document} in terms of Gaussian hypergeometric series. We also find some special values of 2F1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{_{2}}F_1}$$\end{document} -Gaussian hypergeometric series containing characters of order 3 and 4 as parameters.
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页码：345 / 355
页数：10
相关论文
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