The diophantine equation (an - 1)(bn - 1) = x 2

被引：16
|
作者：
Cohn J.H.E. [1 ]
机构：
[1] Department of Mathematics, Royal Holloway University of London, Egham, Surrey
来源：
Periodica Mathematica Hungarica | 2002年 / 44卷 / 2期
关键词：
Exponential diophantine equation;
D O I：
10.1023/A:1019688312555
中图分类号：
学科分类号：
摘要：
Let a and b given unequal positive integers; it is desired to determine the positive integer solutions n and x of the equation of the title. Some special cases have recently been considered, and here some general results and conjectures are presented. © Akadémiai Kiadó.
引用
收藏
页码：169 / 175
页数：6
相关论文
共 50 条
  • [1] A note on the diophantine equation (an − 1)(bn − 1) = x2
    Guo Xiaoyan
    Periodica Mathematica Hungarica, 2013, 66 : 87 - 93
  • [2] A note on the exponential Diophantine equation (an - 1)(bn - 1) = x2
    Noubissie, Armand
    Togbe, Alain
    ANNALES MATHEMATICAE ET INFORMATICAE, 2019, 50 : 159 - 165
  • [3] On the diophantine equation (an-1)(bn-1) = x2
    Yuan, Pingzhi
    Zhang, Zhongfeng
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2012, 80 (3-4): : 327 - 331
  • [4] On the Exponential Diophantine Equation (an-1) (bn-1) = x2
    Noubissie, Armand
    Togbe, Alain
    Zhang, Zhongfeng
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020, 27 (02) : 161 - 166
  • [5] On the exponential diophantine equation (an-1)(bn-1) = x2
    Lan, Li
    Szalay, Laszlo
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 77 (3-4): : 465 - 470
  • [6] On the exponential Diophantine equation (an-1)(bn-1) = x2
    Ishii, Katsumasa
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2016, 89 (1-2): : 253 - 256
  • [7] A note on the diophantine equation (an-1)(bn-1)=x2
    Guo Xiaoyan
    PERIODICA MATHEMATICA HUNGARICA, 2013, 66 (01) : 87 - 93
  • [8] A note on the exponential diophantine equation (an-1)(bn-1) = x2
    Keskin, Refik
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2019, 129 (05):
  • [9] A note on the polynomial-exponential Diophantine equation (an - 1) (bn - 1) = x2
    Fujita, Yasutsugu
    Le, Maohua
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (03) : 123 - 129
  • [10] A note on the exponential diophantine equation (2n-1)(bn-1) = x2
    Le, Maohua
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2009, 74 (3-4): : 401 - 403
12345