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Some Congruences for Sums Involving Harmonic Numbers
Abstract
In this paper, we establish some congruences involving sums with
harmonic numbers and the terms of second-order linear sequences.
Keywords
References
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- [2] Kılıç E., Ömür N. and Türker Ulutaş Y., Alternating sums of the powers of Fibonacci and Lucas numbers, Miskolc Math. Notes, 12-1 (2011) 87-103.
- [3] Kılıç E., Ömür N. and Türker Ulutaş, Y., Some finite sums involving generalized Fibonacci and Lucas numbers, Discrete Dynamics in Nature and Society, (2011) 1-11, doi:10.1155/2011/284261.
- [4] Koparal S. and Ömür N., On congruences related to central binomial coefficients, harmonic and Lucas numbers, Turkish Journal of Mathematics, 40 (2016) 973-985.
- [5] Melham R.S., Certain classes of finite sums that involve generalized Fibonacci and Lucas numbers, The Fibonacci Quarterly, 42-1 (2004) 47–54.
- [6] Ömür N. and Koparal S., Some congruences related to harmonic numbers and the terms of the second order sequences, Mathematica Moravica, 20 (2016) 23-37.
- [7] Sun Z.W., Arithmetic theory of harmonic numbers, Proc. Amer. Math. Soc., 140-2 (2012) 415-428.
- [8] Sun Z.W. and Zhao L.L., Arithmetic theory of harmonic numbers (II), Colloq. Math., 130-1 (2013) 67-78.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 24, 2018
Submission Date
September 21, 2018
Acceptance Date
November 1, 2018
Published in Issue
Year 2018 Volume: 39 Number: 4
APA
Koparal, S., & Ömür, N. (2018). Some Congruences for Sums Involving Harmonic Numbers. Cumhuriyet Science Journal, 39(4), 912-919. https://doi.org/10.17776/csj.462331
AMA
1.Koparal S, Ömür N. Some Congruences for Sums Involving Harmonic Numbers. CSJ. 2018;39(4):912-919. doi:10.17776/csj.462331
Chicago
Koparal, Sibel, and Neşe Ömür. 2018. “Some Congruences for Sums Involving Harmonic Numbers”. Cumhuriyet Science Journal 39 (4): 912-19. https://doi.org/10.17776/csj.462331.
EndNote
Koparal S, Ömür N (December 1, 2018) Some Congruences for Sums Involving Harmonic Numbers. Cumhuriyet Science Journal 39 4 912–919.
IEEE
[1]S. Koparal and N. Ömür, “Some Congruences for Sums Involving Harmonic Numbers”, CSJ, vol. 39, no. 4, pp. 912–919, Dec. 2018, doi: 10.17776/csj.462331.
ISNAD
Koparal, Sibel - Ömür, Neşe. “Some Congruences for Sums Involving Harmonic Numbers”. Cumhuriyet Science Journal 39/4 (December 1, 2018): 912-919. https://doi.org/10.17776/csj.462331.
JAMA
1.Koparal S, Ömür N. Some Congruences for Sums Involving Harmonic Numbers. CSJ. 2018;39:912–919.
MLA
Koparal, Sibel, and Neşe Ömür. “Some Congruences for Sums Involving Harmonic Numbers”. Cumhuriyet Science Journal, vol. 39, no. 4, Dec. 2018, pp. 912-9, doi:10.17776/csj.462331.
Vancouver
1.Sibel Koparal, Neşe Ömür. Some Congruences for Sums Involving Harmonic Numbers. CSJ. 2018 Dec. 1;39(4):912-9. doi:10.17776/csj.462331