Yayın: On congruences involving harmonic numbers H3n and H3n+r
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Elkhiri, Laid
Ömür, Neşe
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Yayıncı:
Indian National Science Academy
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In this paper, we establish various congruences involving harmonic numbers H3n and H3n+r modulo prime number p, ie., ∑0≤k≤[p/3]H3k2(modp) and ∑0≤k≤[p/3]H3k+r3k+r(modp). Also, we give the generalization of Meštrović’s congruence, ie., for any prime number p≥5, (Formula presented.) where r∈{1,2,3}.
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Bernoulli numbers, Arithmetic theory, Fermat, Congruences, Harmonic numbers, Abel sum, Science & Technology, Physical Sciences, Mathematics