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arXiv · 2205.05931

RH-Dependent Estimates of Remainder in Modified Mertens Formula

Gennadiy Kalyabin
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Abstract

Assuming the validity of Riemann Hypothesis (RH), we derive the explicit bilateral estimates ("narrow passage") of the remainder in the modified Mertens asymptotic formula for the sums of primes' reciprocals. These results are reversable, thus yielding some new criteria for RH.

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Gennadiy Kalyabin. 2022-05-12. RH-Dependent Estimates of Remainder in Modified Mertens Formula. https://arxiv.org/abs/2205.05931

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