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math.NT 1

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2026 1

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CONDITIONAL 1

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Bounds for Mertens Sums

math.NT · 2026-08-02 · conditional · novelty 6.0

New explicit exponential- and log-type bounds for Mertens sums over primes, powered by bounds for weighted zero sums of the Riemann zeta function, improving on Vanlalngaia (2017) and correcting Dusart (2018).

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  • Bounds for Mertens Sums math.NT · 2026-08-02 · conditional · none · ref 6

    New explicit exponential- and log-type bounds for Mertens sums over primes, powered by bounds for weighted zero sums of the Riemann zeta function, improving on Vanlalngaia (2017) and correcting Dusart (2018).