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Number Theory

Sequences and Sets

11Bxx

[1] A. Bremner and N. Tzanakis. Lucas sequences whose 12th or 9th term is a square. J. Number Theory, 107(2):215–227, 2004.
[2] A. Bremner and N. Tzanakis. Lucas sequences whose 8th term is a square. arXiv:math.NT/0408371 v2, 44 pages, 2004.
[3] A. Bremner and N. Tzanakis. On squares in Lucas sequences. J. Number Theory, To appear, 11 pages, 2006.
[4] N. Bruin, K. Győry, L. Hajdu, and S. Tengely. Arithmetic progressions consisting of unlike powers. arXiv:math.NT/0512419 v1, 16 pages, 2005.
[5] 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.
[6] 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.
[7] Everett W. Howe. Higher-order Carmichael numbers. Math. Comp., 69(232):1711–1719, 2000.
[8] J. McLaughlin. Small prime powers in the Fibonacci sequence. arXiv:math.NT/0110150 v2, 22 pages, 2002.

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