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The Mertens Estimates

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Excursions in Multiplicative Number Theory

Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher ((BAT))

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Abstract

We need estimates for the number of primes in the initial interval. Such estimates are long known. Efforts to make them explicit started in the thirties, see, for instance, the papers [2] by R. Breusch, Robert and [27] by J.B. Rosser.

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  1. Institut de Mathématiques de Marseille, CNRS / Aix-Marseille University, Marseille, Bouches du Rhône, France

    Olivier Ramaré

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Ramaré, O. (2022). The Mertens Estimates. In: Excursions in Multiplicative Number Theory. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-73169-4_12

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