Congruences with q-harmonic numbers and q-binomial coefficients

Author:

Elkhiri Laid,Koparal Sibel,Ömür Neşe

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. N. H. Abel, Untersuchungen über die Reihen $$1+\frac{m}{1}x+\frac{m(m-1)}{1.2}x^{2}+\frac{m(m-1)(m-2)}{1.2.3}x^{3}+...$$, J. Reine Angew. Math., 1 (1986) 311–339.

2. R.L. Graham, D.E. Knuth and O. Patashnik, Concrete Mathematics, 2nd ed. Upper Saddle River, NJ, USA: Addison-Wesley, 1994.

3. S. Koparal, N.Ömür and L. Elkhiri, Some congruences with $$q$$-binomial coefficients and $$q$$-harmonic numbers, Hacet. J. Math. Stat., 52(2) (2023) 445–458.

4. A. Medžiūnas, On the congruence of finite sums involving generalized harmonic numbers modulo $$p^2$$, Ann. Polon. Math., 126 (2021) 279–292.

5. R. Meštrović, On the $$(mod \; p^{2})$$ determination of $$\sum _{k=1}^{p-1}H_{k}/k2^{k}$$: another proof of a conjecture by Sun, Publ. Math. Debrecen, 82 (2013) 107–123.

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