René Gy

most citedExtended Congruences for Harmonic Numbers

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math.NT2020

Congruences for certain lacunary sums of products of binomial coefficients

René Gy

It is shown that for any prime $p$ and any natural numbers $ℓ, m,$ and $s$ such that $0 < s < p$ , the three following congruences \begin{align*}\sum_{i\ge \ell+1}(-1)^{m-i} {m \choo…

math.NT2019★ 1 cited

Extended Congruences for Harmonic Numbers

René Gy

We derive $p$ -adic expansions for the generalized Harmonic numbers $H_{p - 1}^{(j)}$ and $H_{\frac{p - 1}{2}}^{(j)}$ involving the Bernoulli numbers $B_{j}$ and the the base-2 Fermat quo…