EXPONENTIAL DIOPHANTINE EQUATION IN THREE UNKNOWNS

被引：0

作者：

Somanath, Manju ^{[1
]}

Raja, K. ^{[1
]}

Kannan, J. ^{[2
]}

Nivetha, S. ^{[2
]}

机构：

[1] Natl Coll, PG & Res Dept Math, Trichy 620001, India

[2] AyyaNadar Janaki Ammal Coll, Dept Math, Sivakasi 626124, India

来源：

ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES | 2020年 / 19卷 / 11期

关键词：

exponential Diophantine equation; congruence; lattice points; Catalan's conjecture;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this manuscript, we demonstrate with the purpose of the given two singular Exponential Diophantine equation E-1 : 23(x) + 24(y) = z(2) and E-2 : 62(x) + 63(y) = z(2) has a unique solution in N boolean OR {0}. The solution (x, y, z) are (0, 1, 5) and (0, 1, 8) respectively.

引用

页码：1113 / 1118

页数：6

共 8 条

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[3] Chotchaisthit Somjit, 2012, Amer. J. Math. Sci., V1, P191
[4] Dickson L. E., 1952, History of the Theory of Numbers, V2
[5] Mihailescu P, 2004, J REINE ANGEW MATH, V572, P167
[6] Mordell L.J., 1969, DIOPHANTINE EQUATION
[7] Somanath Manju, 2019, INT J APPL MATH, V32, P443
[8] Sroysang B., 2012, International Journal of Pure and Applied Mathematics, V81, P605

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