THE EXTENDIBILITY OF D(4)-PAIRS {F-2k, F2k+6} AND {P-2k, P2k+4}

被引：0
|
作者：
Durackovic, Ljubica Bacic [1 ]
Filipin, Alan [2 ]
机构：
[1] Primary Sch Nikola Andric, Vukovar 32000, Croatia
[2] Univ Zagreb, Fac Civil Engn, Zagreb 10000, Croatia
来源：
RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2016年 / 20卷 / 528期
关键词：
Diophantine tuples; simultaneous Diophantine equations;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let k >= 1 be an integer and let F-k be the k-th Fibonacci number and P-k k-th Pell number. In this paper we prove that the pairs {F-2k, F2k+6} and {P-2k, P2k+4} cannot be extended to a D (4)-quintuple.
引用
收藏
页码：27 / 35
页数：9
相关论文
共 50 条
  • [31] VZAIMODEISTVIE TITANATOV I FOSFATOV KALIYA PRI KRISTALLIZATSII IZ RASPLAVOV .4. ISSLEDOVANIE TROINYKH SISTEM K2TIO3-K4P2O7-TIO2 I K2TIO3-K4P2O7-K3PO4
    BELYAEV, IN
    SIGIDA, NP
    ZHURNAL NEORGANICHESKOI KHIMII, 1958, 3 (02): : 425 - 432
  • [32] Singular links of type (p, 2k+1) in the 4k+2-sphere. II
    Nezhinskij V.M.
    Journal of Mathematical Sciences, 1998, 91 (6) : 3456 - 3459
  • [33] Phase Equilibria in the Ternary Systems KF-K2CrO4-K2MoO4 and KI-K2CrO4-K2MoO4
    Dvoryanova, E. M.
    Terent'eva, E. V.
    Garkushin, I. K.
    RUSSIAN JOURNAL OF INORGANIC CHEMISTRY, 2016, 61 (09) : 1182 - 1186
  • [34] LATTICE VIBRATIONS AND FORCE FIELD OF K2PTCL4 K2PDCL4 AND K2PTCL6
    HIRAISHI, J
    SHIMANOUCHI, T
    SPECTROCHIMICA ACTA, 1966, 22 (08): : 1483 - +
  • [35] THE CRYSTAL STRUCTURES OF BETA-K2SO4 AND OF BETA-K2PO3F
    ROBINSON, MT
    JOURNAL OF PHYSICAL CHEMISTRY, 1958, 62 (08): : 925 - 928
  • [36] Theoretical determination of highly excited states of K2 correlated adiabatically above K(4p)+K(4p)
    Magnier, S
    Aubert-Frécon, M
    Allouche, AR
    JOURNAL OF CHEMICAL PHYSICS, 2004, 121 (04): : 1771 - 1781
  • [37] K2P2: Reduced data from campaigns 0-4 of the K2 mission
    Handberg, R.
    Lund, M. N.
    ASTRONOMY & ASTROPHYSICS, 2017, 597
  • [38] Maximal sets of hamilton cycles in K2p-F
    Fu, H. L.
    Logan, S. L.
    Rodger, C. A.
    DISCRETE MATHEMATICS, 2008, 308 (13) : 2822 - 2829
  • [39] CONSTRUCTION OF SOME SBIBD (4K(2), 2K(2)+K, K(2)+K) AND HADAMARD-MATRICES WITH MAXIMAL EXCESS
    KOUKOUVINOS, C
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1994, 39 (01) : 129 - 134
  • [40] K2P2-A PHOTOMETRY PIPELINE FOR THE K2 MISSION
    Lund, Mikkel N.
    Handberg, Rasmus
    Davies, Guy R.
    Chaplin, William J.
    Jones, Caitlin D.
    ASTROPHYSICAL JOURNAL, 2015, 806 (01):
12345