The method of infinite ascent applied on 2(p)A(6)

被引：0
|
作者：
Jena, Susil Kumar [1 ]
机构：
[1] KIIT Univ, Dept Elect & Telecommun Engn, Bhubaneswar 751024, Odisha, India
来源：
TBILISI MATHEMATICAL JOURNAL | 2014年 / 7卷 / 01期
关键词：
Diophantine equation 2(p)A(6) + B-3 = C-2; method of infinite ascent; higher order Diophantine equation;
D O I：
10.2478/tmj-2014-0003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that for any positive integer p, when p ? 1 (mod 6) or, p equivalent to 3 (mod 6), the Diophantine equation: 2(p) A(6) + B-3 = C-2 has infinitely many co-prime integral solutions A, B, C. When p = 0, this equation has only four integral solutions with (A, B, C) = (+/- 1, 2, +/- 3). For other integer values of p, the problem is open.
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页码：31 / 36
页数：6
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