Abstract
We give a proof of the irrationality of the p-adic zeta-values ζp(k) for p = 2, 3 and k = 2, 3.
Such results were recently obtained by F.Calegari as an application of overconvergent
p-adic modular forms. In this paper we present an approach using classical continued
fractions discovered by Stieltjes. In addition
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