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Sharpness of Muqattash-Yahdi problem

Sharpness of Muqattash-Yahdi problem

Let ψ denote the psi (or digamma) function. We determine the values of theparameters p, q and r such that ψ(n) ≈ ln(n + p) - <img border=0 width=32 height=32 src="../../../../../img/revistas/cam/v31n1/a05img01.jpg" align=absmiddle> is the best approximations. Also, we present closer bounds for psi function, which sharpens some known results due …