PRODUCTS OF PRIME POWERS IN BINARY RECURRENCE SEQUENCES .1. THE HYPERBOLIC CASE, WITH AN APPLICATION TO THE GENERALIZED RAMANUJAN-NAGELL EQUATION

被引：45

作者：

PETHO, A ^{[1
]}

DEWEGER, BMM ^{[1
]}

机构：

[1] RIJKSUNIV LEIDEN,INST MATH,2300 RA LEIDEN,NETHERLANDS

来源：

MATHEMATICS OF COMPUTATION | 1986年 / 47卷 / 176期

关键词：

D O I：

10.2307/2008185

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：713 / 727

页数：15

共 10 条

[1] ON THE GENERALIZED RAMANUJAN-NAGELL EQUATION .1.
LE, MH
KEXUE TONGBAO, 1984, 29 (02): : 278 - 279
[2] PRODUCTS OF PRIME POWERS IN BINARY RECURRENCE SEQUENCES .2. THE ELLIPTIC CASE, WITH AN APPLICATION TO A MIXED QUADRATIC-EXPONENTIAL EQUATION
DEWEGER, BMM
MATHEMATICS OF COMPUTATION, 1986, 47 (176) : 729 - 739
[3] ON THE GENERALIZED RAMANUJAN-NAGELL EQUATION x2 + (2c-1)m = cn
Fujita, Y.
Terai, N.
ACTA MATHEMATICA HUNGARICA, 2020, 162 (02) : 518 - 526
[4] On the number of solutions of the generalized Ramanujan-Nagell equation D1x2 + D2m = pn
Hu, Yongzhong
Le, Maohua
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2012, 55 (03): : 279 - 293
[5] On the generalized Ramanujan-Nagell equation x2 + qm = cn with qr+1=2c2
Hu, Jiayuan
Li, Xiaoxue
BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2017, 60 (03): : 257 - 265
[6] On the generalized Ramanujan-Nagell equation x2+(3m2+1)=(4m2+1)n
Fu, Ruiqin
Yang, Hai
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2022, 53 (01): : 222 - 227
[7] A note on the solution to the generalized Ramanujan-Nagell equation x2 + (4c)y = (c+1)z
Fujita, Yasutsugu
Le, Maohua
Terai, Nobuhiro
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (04): : 1145 - 1157
[8] A note on the number of solutions of the generalized Ramanujan-Nagell equation D(1)x(2)+D-2=4p(n)
Le, MH
JOURNAL OF NUMBER THEORY, 1997, 62 (01) : 100 - 106
[9] On the number of solutions of the generalized Ramanujan-Nagell equation D1X2 + DM2=2N+2
Li, Jianghua
QUAESTIONES MATHEMATICAE, 2018, 41 (02) : 149 - 163
[10] On the generalized Ramanujan-Nagell equation x2+(3m2+1)=(4m2+1)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pmb {x^2+(3m^2+1)=(4m^2+1)^n}$$\end{document}
Ruiqin Fu
Hai Yang
Indian Journal of Pure and Applied Mathematics, 2022, 53 (1) : 222 - 227

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