Squares in Lucas sequenceshaving an even first parameter

• Autorzy: Paulo Ribenboim , Wayne L. McDaniel
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1998
• Tom: 78
• Numer: 1
• Strony: 29-34

Daty

wydano

1998

otrzymano

1997-12-30

Twórcy

autor

Paulo Ribenboim

• Department of Mathematics, Queen's University Kingston, Ontario, Canada, K7L 3N6

autor

Wayne L. McDaniel

• Department of Mathematics and Computer Science, University of Missouri-St. Louis, St. Louis, Missouri 63121 U.S.A.

Bibliografia

• [1] J. H. E. Cohn, Squares in some recurrent sequences, Pacific J. Math. 41 (1972), 631-646.
• [2] W. Ljunggren, Über die unbestimmte Gleichung $Ax^2-By^4=C$, Arch. Math. Naturvid. 41 (1938), 3-18.
• [3] W. Ljunggren, Zur Theorie der Gleichung $x^2+1=Dy^4$, Avh. Norske Vid. Akad. Oslo. I, No. 5 (1942), 1-26.
• [4] W. Ljunggren, New propositions about the indeterminate equation ${x^n-1}\over{x-1}=y^q$, Norske Mat. Tidskr. 25 (1943), 17-20.
• [5] L. J. Mordell, Diophantine Equations, Pure Appl. Math. 30, Academic Press, London, 1969.
• [6] A. Pethő, Perfect powers in second order linear recurrences, J. Number Theory 15 (1982), 5-13.
• [7] P. Ribenboim, The Book of Prime Number Records, Springer, New York, 1989.
• [8] P. Ribenboim and W. L. McDaniel, The square terms in Lucas sequences, J. Number Theory 58 (1996), 104-123.
• [9] N. Robbins, Some identities and divisibility properties of linear second-order recursion sequences, Fibonacci Quart. 20 (1982), 21-24.
• [10] A. Rotkiewicz, Applications of Jacobi's symbol to Lehmer's numbers, Acta Arith. 42 (1983), 163-187.