Research Article

Some Congruences for Sums Involving Harmonic Numbers

Volume: 39 Number: 4 December 24, 2018
TR EN

Harmonik sayıları içeren toplamlar için bazı denklikler

Öz

Bu makalede harmonik sayıları ve ikinci mertebeden lineer dizilerin terimlerini içeren toplamlar hakkında bazı denklikler gösterilmiştir.

Anahtar Kelimeler

References

  1. [1] Granville A., The square of the Fermat quotient, Integers: Electronic Journal of Combinatorial Number Theory, 4 (2004) #A22.
  2. [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. [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. [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. [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. [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. [7] Sun Z.W., Arithmetic theory of harmonic numbers, Proc. Amer. Math. Soc., 140-2 (2012) 415-428.
  8. [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

Authors

Neşe Ömür
Türkiye

Publication Date

December 24, 2018

Submission Date

September 21, 2018

Acceptance Date

November 1, 2018

Published in Issue

Year 1970 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

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