On the Diophantine equation Cx2+D=2yq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Cx^{2}+D=2y^{q}$$\end{document}

被引：0
作者：
Nejib Ghanmi
Fadwa S. Abu Muriefah
机构：
[1] University College of Jammum,Department of Mathematics
[2] Princess Nourah Bint Abdulrahman University,Department of Mathematics
来源：
The Ramanujan Journal | 2020年 / 53卷 / 2期
关键词：
Diophantine equation; Fibonacci sequence; Primitive divisor; Lehmer pair; Lucas sequence; Primary 11D41; Secondary 11D61; 11Y50;
D O I：
10.1007/s11139-019-00165-w
中图分类号：
学科分类号：
摘要：
Let C and D denote positive integers such that CD>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$CD>1$$\end{document}. In this paper we investigate the solvability of the Diophantine equation Cx2+D=2yq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Cx^{2}+D=2y^{q}$$\end{document}, in positive integers x, y and odd prime number q where CD≢3(mod4)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$CD\not \equiv 3 \pmod 4$$\end{document} and CD is squarefree.
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页码：389 / 397
页数：8
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