Geodesic
On congruences with binomial coefficients and harmonic numbers
Filomat, Tome 36 (2022) no. 3, p. 951

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DOI

In this paper, we obtain super congruences [(p−1)/r] k=1 (−1) k+1 αp − 1 k H 2 k (mod p 2) and [(p−1)/r] k=1 (−1) k k αp − 1 k H 2 k (mod p 2), where r ∈ {1, 2, 3} and α is a p−adic integer. Also, we give new congruences involving binomial coefficients and harmonic numbers
DOI : 10.2298/FIL2203951K
Classification : 11B50, 11A07, 11B65
Keywords: Congruences, harmonic numbers, Bernoulli numbers and binomial coefficients 
Sibel Koparal; Laid Elkhiri; Neşe Ömür. On congruences with binomial coefficients and harmonic numbers. Filomat, Tome 36 (2022) no. 3, p. 951 . doi: 10.2298/FIL2203951K
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     author = {Sibel Koparal and Laid Elkhiri and Ne\c{s}e \"Om\"ur},
     title = {On congruences with binomial coefficients and harmonic numbers},
     journal = {Filomat},
     pages = {951 },
     year = {2022},
     volume = {36},
     number = {3},
     doi = {10.2298/FIL2203951K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2203951K/}
}
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