Yayın: On congruences with binomial coefficients and harmonic numbers
Tarih
Kurum Yazarları
Koparal, Sibel
Yazarlar
Elkhiri, Laid
Ömür, Neşe
Danışman
Dil
Türü
Yayıncı:
Univ Nis, Fac Sci Math
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Özet
In this paper, we obtain super congruencesSigma([(p-1)/r])(k=1) (1)(k+1)(( alpha p - 1)(k))H-k(2) (mod p(2)) and Sigma([(p-1)/r])(k=1) (1-())k k((alpha p - 1)(k))H-k(2) (mod p(2)),where r is an element of {1, 2, 3} and alpha is a p-adic integer. Also, we give new congruences involving binomial coefficients and harmonic numbers.
Açıklama
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Konusu
Bernoulli numbers, Congruences, Harmonic numbers, Bernoulli numbers and binomial coefficients, Science & technology, Physical sciences, Mathematics, applied, Mathematics