Geodesic
Arithmetic properties of generalized Fibonacci sequence and their consequences
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 34-41.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we obtain some arithmetic properties of generalized Fibonacci sequence and consider their applications. 
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A. N. Vassilyev. Arithmetic properties of generalized Fibonacci sequence and their consequences. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 4, pp. 34-41. http://geodesic.mathdoc.fr/item/ISU_2013_13_4_a3/

[1] Vorobiev N. N., Fibonacci Numbers, Birkhauser Verlag, Basel–Boston–Berlin, 2002 | MR | MR | Zbl

[2] Gashkov S. B., Chubarikov V. N., Arithmetics. Algorithms. The Complexity of Computations, Drofa, Moscow, 2005

[3] Romanoff N. P., “Über einige Satze der additiven Zahlentheorie”, Math. Ann., 109 (1934), 668–678 | DOI | MR | Zbl

[4] Erdős P., “On some problems of Bellman and a theorem of Romanoff”, J. Chinese Math. Soc., 1 (1951), 409–421 | MR

[5] Prahar K., Distribution of Prime Numbers, Mir, Moscow, 1967 | MR

[6] Arkhipov G. I., Sadovnichii V. A., Chubarikov V. N., Lectures on Mathematical Analysis, Vysshaya Shkola, Moscow, 1999