Az Eszterházy Károly Tanárképző Főiskola Tudományos Közleményei. 2001. Sectio Mathematicae (Acta Academiae Paedagogicae Agriensis : Nova series ; Tom. 28)

Kiss, P. & MÁTYÁS, F., On products and sums of the terms of linear recurrences

On products and sums of the terms of linear recurrences 11 [3] B RINDZA, B., L IPTAI , K. AND SZALAY, L., On products of the terms of linear recurrences, Number Theory, Eds.: Györy - Pethö - Sós, Walter de Gruyter, Berlin - New York, (1998), 101-106. [4] GYORY, K., KISS, P. AND SCHINZEL, A., A note on Lucas and Lehmer sequences and their applications for cliophantine equations, Colloq. Math., 45 (1981), 75-80. [5] G YÖRY , K., On some arithmetical properties of Lucas and Lehmer numbers, Acta Arithm., 40 (1982), 369-373. [6] Kiss, P., Differences of the terms of linear recurrences, Studia Sei. Math. Hungar., 20 (1985), 285-293. [7] Kiss, P., Results concerning products and sums of terms of linear recurrences, Acta Acad. Agriensis Sectio Math., 27 (2000), 1-7. [8] Kiss, P. AND M ÁTYÁS, F., Perfect powers from the sums of terms of linear recurrences, Periodica Mathematica Hungarica, 42 (1-2) (2001), 163-168. [9] Kiss, P. AND MÁTYÁS, F., Product of terms of linear recurrences, Studia Sei. Math. Hungar., 37 (3-4) (2001), 355-362. [10] MÁTYÁS, F., On the difference of perfect powers and sums of terms of linear recurrences, Riv. Mat. Univ. Parma, (6) 3 (2000),77-85. [11] PETHŐ, A., Perfect powers in second order linear recurrences, J. Number Theory, 15 (1982), 5-13. [12] PETHŐ, A., Full cubes in the Fibonacci sequence, Puhl. Math. Debrecen, 30 (1983), 117-127. [13] SHOREY, T. N. AND STEWART, C. L., On the Diophantine equation ax 2 t + bx ty -f cy 2 = d and pure powers in recurrence sequences, Math. Scand., 52 (1982), 24-36. [14] SZALAY, L., A note on the products of the terms of linear recurrences, Acta Acad. Paed. Agriensis , 24 (1997), 47-53. Péter Kiss and Ferenc Mátyás Károly Eszterházy College Department of Mathematics H-3301 Eger, P.O.B. 43. Hungary e-mail: kissp@ektf.hu e-mail: matyas@ektf.hu

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