ON A FAMILY OF TWO-PARAMETRIC D(4)-TRIPLES

被引：0

作者：

Filipin, Alan ^{[1
]}

He, Bo ^{[2
]}

Togbe, Alain ^{[3
]}

机构：

[1] Univ Zagreb, Fac Civil Engn, Zagreb 10000, Croatia

[2] ABa Teachers Coll, Dept Math, Wenchuan 623000, Sichuan, Peoples R China

[3] Purdue Univ N Cent, Dept Math, Westville, IN 46391 USA

来源：

GLASNIK MATEMATICKI | 2012年 / 47卷 / 01期

关键词：

Diophantine m-tuples; Pell equations; Baker's method; DIOPHANTINE; THEOREM; NUMBER; SETS; K-1;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be a positive integer. In this paper, we study a parametric family of the sets of integers {k,A(2)k + 4A, (A + 1)(2)k + 4(A + 1), d}. We prove that if d is a positive integer such that the product of any two distinct elements of that set increased by 4 is a perfect square, then d = (A(4) broken vertical bar 2A(3) broken vertical bar A(2))k(3) broken vertical bar (8A(3) broken vertical bar 12A(2) broken vertical bar 4A)k(2) broken vertical bar (20A(2) broken vertical bar 20A broken vertical bar 4)k broken vertical bar (16A broken vertical bar 8) for 1 <= A <= 22 and A >= 51767.

引用

页码：31 / 51

页数：21

共 50 条

[21] Two-parametric fractional statistics models for anyons
Andrij Rovenchak
The European Physical Journal B, 2014, 87
[22] Two-parametric fractional statistics models for anyons
Rovenchak, Andrij
EUROPEAN PHYSICAL JOURNAL B, 2014, 87 (08):
[23] Two-parametric families of orbits in axisymmetric potentials
Kotoulas, Thomas A.
Bozis, George
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (29): : 9223 - 9230
[24] On two-parametric quartic families of diophantine problems
Petho, A
Tichy, RF
JOURNAL OF SYMBOLIC COMPUTATION, 1998, 26 (02) : 151 - 171
[25] Two-parametric representation of the solar and heliospheric protons
Dmitriev, AV
Bakhareva, MF
Veselovsky, IS
Zeldovich, MA
ORIGIN AND ACCELERATION OF COSMIC RAYS, 2001, 27 (04): : 841 - 846
[26] A two-parametric class of predictors in multivariate regression
Bjorkstrom, Anders
Sundberg, Rolf
JOURNAL OF CHEMOMETRICS, 2007, 21 (5-6) : 215 - 226
[27] TWO-PARAMETRIC PROBLEM FOR OPTIMAL DISTRIBUTION OF RESOURCES
Nikolaev, Rosen
Milkova, Tanka
MATHEMATICS AND INFORMATICS, 2022, 65 (01): : 96 - 111
[28] Two-Parametric Nature of Fatigue and the Intrinsic Mechanisms
K. Sadananda
N. Iyyer
A. K. Vasudevan
M. Nani Babu
N. Phan
Metallurgical and Materials Transactions A, 2022, 53 : 4315 - 4333
[29] A two-parametric three-point problem
Bognar, G.
Cepicka, J.
Drabek, P.
Necesal, P.
Rozgonyi, E.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (9-10) : 3707 - 3721
[30] The problem of the extension of a parametric family of Diophantine triples
Dujella, A
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1997, 51 (3-4): : 311 - 322

← 1 2 3 4 5 →