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In this short note we will use the residue theorem to establish a formula for Euler’s constant. In particular, we offer a slightly generalized version of an interesting infinite series due to Flajolet, Gourdon, and Dumas. 1 Properties of γ Recall that γ is usually defined in terms of the partial sums of the harmonic series: γ := lim n→∞
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ژورنال
عنوان ژورنال: Journal de Théorie des Nombres de Bordeaux
سال: 2010
ISSN: 1246-7405
DOI: 10.5802/jtnb.712