On the Diophantine equation x2+3a41b = yn

被引:0
|
作者
Alan, Murat [1 ]
Zengin, Ugur [1 ]
机构
[1] Yildiz Tech Univ, Fac Arts & Sci, Dept Math, Davutpasa Campus, TR-34210 Istanbul, Turkey
关键词
Diophantine equations; Ramanujan-Nagell equations; Primitive divisor theorem; X(2)+2(A);
D O I
10.1007/s10998-020-00321-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we find all positive integer solutions (x, y, n, a, b) of the equation in the title for non negative integers a and b under the condition that the integers x and y are relatively prime and n >= 3.
引用
收藏
页码:284 / 291
页数:8
相关论文
共 50 条
  • [1] ON THE DIOPHANTINE EQUATION x2+2a . 5b = yn
    Luca, Florian
    Togbe, Alain
    INTERNATIONAL JOURNAL OF NUMBER THEORY, 2008, 4 (06) : 973 - 979
  • [2] ON THE DIOPHANTINE EQUATION x2+2a . 19b = yn
    Soydan, Gokhan
    Ulas, Maciej
    Zhu, Hui Lin
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2012, 43 (03): : 251 - 261
  • [3] On the diophantine equation x2 + 2 = yn
    Sury B.
    Archiv der Mathematik, 2000, 74 (5) : 350 - 355
  • [4] On the Diophantine equation x2+2=yn
    Sury, R
    ARCHIV DER MATHEMATIK, 2000, 74 (05) : 350 - 355
  • [5] On the diophantine equation x2+2α3β5γ7δ = yn
    Pink, Istvan
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2007, 70 (1-2): : 149 - 166
  • [6] On the Diophantine equation x2+5a 13b = yn
    Abu Muriefah, Fadwa S.
    Luca, Florian
    Togbe, Alain
    GLASGOW MATHEMATICAL JOURNAL, 2008, 50 : 175 - 181
  • [7] On the Diophantine equation x2 + C = yn
    Rayaguru, Sai Gopal
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (01): : 69 - 77
  • [8] THE DIOPHANTINE EQUATION X2+19 = YN
    COHN, JHE
    ACTA ARITHMETICA, 1992, 61 (02) : 193 - 197
  • [9] On the diophantine equation x2 + 2a · 19b = yn
    Gökhan Soydan
    Maciej Ulas
    Hui Lin Zhu
    Indian Journal of Pure and Applied Mathematics, 2012, 43 : 251 - 261
  • [10] The diophantine equation x2 + 2a · 17b = yn
    Su Gou
    Tingting Wang
    Czechoslovak Mathematical Journal, 2012, 62 : 645 - 654