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2016, vol. 20, br. 2, str. 23-37
Some congruences related to harmonic numbers and the terms of the second order sequences
(naslov ne postoji na srpskom)
Kocaeli University, Mathematics Department, Izmit Kocaeli, Turkey

e-adresaneseomur@kocaeli.edu.tr, sibel.koparal@kocaeli.edu.tr
Ključne reči: congruences; harmonic numbers; second order sequences
Sažetak
(ne postoji na srpskom)
In this paper, with helps of some combinatorial identities, we investigate various basic congruences involving harmonic numbers and terms of the second order sequences {Ukn} and {Vkn}.
Reference
Granville, A. (2004) The square of the Fermat quotient. Integers: Electron. J. Combin. Number Theory, 4, A22
Kılıc, E., Stanica, P. (2009) Factorizations and representations of second linear recurrences with indices in arithmetic progressions. Bulletin of the Mexican Mathematical Society, Vol. 15, No. 1, pp. 23-36
Kiliç, E., Stănică, P. (2011) Factorizations and representations of binary polynomial recurrences by matrix methods. Rocky Mountain Journal of Mathematics, 41(4): 1247-1264
Koparal, S., Ömür, N. (2016) On congruences related to central binomial coefficients, harmonic and Lucasnumbers. Turkish Journal of Mathematics, 40: 973-985
Pan, H., Sun, Z. (2014) Proof of three conjectures on congruences. Science China Mathematics, 57(10): 2091-2102
Sun, Z., Zhao, L. (2013) Arithmetic theory of harmonic numbers (II). Colloquium Mathematicum, 130(1): 67-78
Young, P.T. (1994) p-adic congruences for the generalized Fibonacci sequences. Fibonacci Quart, Vol. 32, No. 1, pp. 2-10
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor1602023O
objavljen u SCIndeksu: 29.03.2018.

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