Diophantine triples with values in binary recurrences

被引:0
作者
Fuchs, Clemens [1 ]
Luca, Florian [2 ]
Szalay, Laszlo [3 ]
机构
[1] ETH, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland
[2] Univ Nacl Autonoma Mexico, Inst Matemat, Morelia 58180, Michoacan, Mexico
[3] Univ W Hungary, Dept Math & Stat, H-9400 Sopron, Hungary
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we study triples a, b and c of distinct positive integers such that ab + 1, ac + 1 and bc + 1 are all three members of the same binary recurrence sequence.
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页码:579 / 608
页数:30
相关论文
共 24 条
  • [1] On the period of the continued fraction expansion of √22n+1+1
    Bugeaud, Y
    Luca, F
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2005, 16 (01): : 21 - 35
  • [2] On a problem of Diophantus for higher powers
    Bugeaud, Y
    Dujella, A
    [J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2003, 135 : 1 - 10
  • [3] An upper bound for the GCD of an-1 and bn-1
    Bugeaud, Y
    Corvaja, P
    Zannier, U
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2003, 243 (01) : 79 - 84
  • [4] S-unit points on analytic hypersurfaces
    Corvaja, P
    Zannier, U
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2005, 38 (01): : 76 - 92
  • [5] A lower bound for the height of a rational function at S-unit points
    Corvaja, P
    Zannier, U
    [J]. MONATSHEFTE FUR MATHEMATIK, 2005, 144 (03): : 203 - 224
  • [6] Diophantine equations with power sums and Universal Hilbert Sets
    Corvaja, P
    Zannier, U
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1998, 9 (03): : 317 - 332
  • [7] Dujella A, 2004, J REINE ANGEW MATH, V566, P183
  • [8] DUJELLA A., DIOPHANTINE M TUPLES
  • [9] Fuchs C., 2003, Mathematica Slovaca, V53, P21
  • [10] Fuchs C, 2004, PUBL MATH-DEBRECEN, V65, P149