ON THE DIOPHANTINE EQUATION xm = yn1 + yn2 + ... + ynk

被引：1
|
作者：
Yamada, Tomoihiro [1 ]
机构：
[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068502, Japan
来源：
GLASGOW MATHEMATICAL JOURNAL | 2009年 / 51卷
关键词：
D O I：
10.1017/S001708950800459X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We find all solutions of x(m) = y(n1) +/- y(n2) +/- y(n3) +/- y(n4) integers m, n1, n2, n3, n4 for all relatively prime integers x, y, below 100.
引用
收藏
页码：143 / 148
页数：6
相关论文
共 50 条
  • [21] ON THE DIOPHANTINE EQUATION x2+7α . 11β = yn
    Soydan, Gokhan
    MISKOLC MATHEMATICAL NOTES, 2012, 13 (02) : 515 - 527
  • [22] ON DIOPHANTINE EQUATION X2=YN PLUS 1 XY NOT = 0
    KO, C
    SCIENTIA SINICA, 1965, 14 (03): : 457 - &
  • [23] ON THE DIOPHANTINE EQUATION x2+72k = yn
    Luca, Florian
    Togbe, Alain
    FIBONACCI QUARTERLY, 2007, 45 (04): : 322 - 326
  • [24] On the Diophantine Equation x2+5a . pb = yn
    Demirci, Musa
    FILOMAT, 2017, 31 (16) : 5263 - 5269
  • [25] On the Diophantine equation nx2+22m = yn
    Wang Yongxing
    Wang Tingting
    JOURNAL OF NUMBER THEORY, 2011, 131 (08) : 1486 - 1491
  • [26] On the Diophantine equation x2+5m=yn
    Liqun Tao
    The Ramanujan Journal, 2009, 19 : 325 - 338
  • [27] On the Diophantine equation x2+5m = yn
    Tao, Liqun
    RAMANUJAN JOURNAL, 2009, 19 (03): : 325 - 338
  • [28] ON THE DIOPHANTINE EQUATION x2 + d2l+1 = yn
    Berczes, Attila
    Pink, Istvan
    GLASGOW MATHEMATICAL JOURNAL, 2012, 54 (02) : 415 - 428
  • [29] On the Diophantine equation 2m + nx2 = yn
    Luca, Florian
    Soydan, Gokhan
    JOURNAL OF NUMBER THEORY, 2012, 132 (11) : 2604 - 2609
  • [30] The diophantine equation x2+q2k=yn
    Abu Muriefah, FS
    Arif, SA
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2001, 26 (1A): : 53 - 62
12345