ON A CLASS OF SOLUTIONS FOR A QUADRATIC DIOPHANTINE EQUATION

被引：0

作者：

Somanath, Manju ^{[1
]}

Raja, K. ^{[1
]}

Kannan, J. ^{[2
]}

Mahalakshmi, M. ^{[2
]}

机构：

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

[2] Madurai Kamraj Univ, Ayya Nadar Janaki Ammal Coll Autonomous, Dept Math, Sivakasi, India

来源：

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

关键词：

Diophantine equation; Pell's equation; linear transformation; integral solution; continued fraction expansion;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P := P(x) be a polynomial in Z[x]. In this manuscript, we think about the integral points of a bilinear Diophantine equation DE : alpha(2) - 90 beta(2) - 10 alpha - 1260 beta = 4401. We as well get hold of a few formulae and recurrence sequence to the integral points of (alpha(n), beta(n)) of DE.

引用

页码：1097 / 1103

页数：7

共 10 条

[1]

Arya S. P., 1991, MATH ED, V8, P23

[2]

Baltus C., 1994, Comm. Anal. Theory Contin. Fractions, V3, P4

[3]

BARBEAU EJ, 2003, PROB B MATH, pR7

[4]

Edward H. P., 1996, GRADUATE TEXTS MATH, V50

[5]

Hensley D, 2006, CONTINUED FRACTIONS, P1

[6] SOLUTIONS OF NEGATIVE PELL EQUATION INVOLVING TWIN PRIME [J].

Kannan, J. ;

Somanath, Manju ;

Raja, K. .

JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2018, 40 (05) :869-874

[7] PELLS EQUATIONS X2-MY2=-1,-4 AND CONTINUED FRACTIONS [J].

KAPLAN, P ;

WILLIAMS, KS .

JOURNAL OF NUMBER THEORY, 1986, 23 (02) :169-182

[8]

Lenstra Jr H.W., 2002, NOT AM MATH SOC, V49, P182

[9]

MATHEWS K, 2000, EXPO MATH, V0018, P00323

[10]

Somanath Manju, 2019, INT J APPL MATH, V32, P443

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