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

[31] Two-parametric quantization of Lie bialgebras of the BN type
Golubeva, VA
PROGRESS IN ANALYSIS, VOLS I AND II, 2003, : 827 - 835
[32] RETRACTED: A Family of Bayesian Estimators for the Two-Parametric Burr Type II Distribution (Retracted Article)
Alshenawy, R.
Feroze, Navid
Al-Alwan, Ali
Saleem, Mahreen
Islam, Sahidul
JOURNAL OF FUNCTION SPACES, 2022, 2022
[33] Two-parametric family of sixth order numerical methods for solving systems of ordinary differential equations
Olemskoy, I., V
Kovrizhnykh, N. A.
Firyulina, O. S.
VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2019, 15 (04): : 502 - 517
[34] Two-parametric family of exact solutions for the profile of the surface of a conducting liquid in a nonuniform electric field
Zubarev, N. M.
Zubareva, O. V.
TECHNICAL PHYSICS, 2012, 57 (12) : 1739 - 1741
[35] Two-parametric models of a boundary layer on a permeable surface
Leontiev, A.I.
Zabolotsky, V.P.
Roganov, P.S.
Proceedings of the International Centre for Heat and Mass Transfer, 1988,
[36] D(4)-TRIPLES WITH TWO LARGEST ELEMENTS IN COMMON
Trebjesanin, Marija Bliznac
MATHEMATICA SLOVACA, 2023, 73 (02) : 343 - 352
[37] Two-parametric family of exact solutions for the profile of the surface of a conducting liquid in a nonuniform electric field
N. M. Zubarev
O. V. Zubareva
Technical Physics, 2012, 57 : 1739 - 1741
[38] Two-parametric model of the spectrum of traffic noise in Tomsk
Bocharov, A. A.
Kolesnik, A. G.
Soloviev, A. V.
ACOUSTICAL PHYSICS, 2012, 58 (06) : 718 - 724
[39] Two-parametric families of orbits and multiseparability of planar potentials
Voyatzi, D
Ichtiaroglou, S
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2003, 86 (03): : 209 - 221
[40] TWO-PARAMETRIC INSTABILITY IN NEMATIC LIQUID CRYSTALS.
Vasil'ev, Yu.V.
Soviet physics. Technical physics, 1983, 28 (03): : 372 - 373

← 1 2 3 4 5 →