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MAGMA Computational Algebra System

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Number Theory

Sequences and Sets

11Bxx

[1] S. Akhtari, A. Togbé, and P. G. Walsh. On the equation aX4 - bY² = 2. Acta Arith., 131(2):145–169, 2008.
[2] A. Bremner and N. Tzanakis. Lucas sequences whose 12th or 9th term is a square. J. Number Theory, 107(2):215–227, 2004.
[3] A. Bremner and N. Tzanakis. Lucas sequences whose 8th term is a square. arXiv:math.NT/0408371 v2, 44 pages, 2004.
[4] A. Bremner and N. Tzanakis. On squares in Lucas sequences. J. Number Theory, 124(2):511–520, 2007.
[5] Florian Breuer, Ernest Lötter, and Brink van der Merwe. Ducci-sequences and cyclotomic polynomials. Finite Fields Appl., 13(2):293–304, 2007.
[6] N. Bruin, K. Győry, L. Hajdu, and Sz. Tengely. Arithmetic progressions consisting of unlike powers. Indag. Math. (N.S.), 17(4):539–555, 2006.
[7] Yann Bugeaud, Florian Luca, Maurice Mignotte, and Samir Siksek. On Fibonacci numbers with few prime divisors. Proc. Japan Acad. Ser. A Math. Sci., 81(2):17–20, 2005.
[8] Yann Bugeaud, Maurice Mignotte, and Samir Siksek. Sur les nombres de Fibonacci de la forme qkyp. C. R. Math. Acad. Sci. Paris, 339(5):327–330, 2004.
[9] Everett W. Howe. Higher-order Carmichael numbers. Math. Comp., 69(232):1711–1719, 2000.
[10] J. McLaughlin. Small prime powers in the Fibonacci sequence. arXiv:math.NT/0110150 v2, 22 pages, 2002.
[11] A. Stoimenow. Generating functions, Fibonacci numbers and rational knots. J. Algebra, 310(2):491–525, 2007.

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