ON THE DIOPHANTINE EQUATION ax(3)

被引：1
|
作者：
Subburam, Sivanarayanapandian [1 ]
Thangadurai, Ravindrananathan [2 ]
机构：
[1] Inst Math Sci, CIT Campus, Chennai 600113, Tamil Nadu, India
[2] Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
来源：
FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2015年 / 53卷 / 01期
关键词：
Diophantine equations; positive solutions; upper bound for solutions; divisors in residue classes;
D O I：
10.7169/facm/2015.53.1.9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Consider the diophantine equation ax(3) + by + c = xyz, where a, b and c are positive integers such that gcd (a, c) = 1 and c is square-free. Let (x, y, z) be a positive integral solution of the equation. In this paper, we shall give an upper bound for x, y and z in terms of the given inputs a, b and c. Also, we apply our results to investigate the divisors of the elements of the sequence {an(3) + c} in residue classes.
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页码：167 / 175
页数：9
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