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Sur un théorème de Mertens

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 We investigate and improve on a proof of Mertens concerning the distribution of primes in arithmetic progressions. As a by-product, we establish fairly efficient numerical bounds for related quantities.

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  1. Laboratoire de mathématiques AGAT, Université Lille 1, 59655 Villeneuve d'Ascq, France. e-mail: Oliver.Ramare@agat.univ-lille 1.fr, , , , , , FR

    Olivier Ramaré

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  1. Olivier Ramaré
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Received: 20 March 2002

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Ramaré, O. Sur un théorème de Mertens. Manuscripta Math. 108, 495–513 (2002). https://doi.org/10.1007/s002290200280

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  • DOI: https://doi.org/10.1007/s002290200280

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