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Bounding zeta on the 1-line under the partial Riemann hypothesis (2310.06723v2)

Published 10 Oct 2023 in math.NT

Abstract: We provide explicit bounds in the theory of the Riemann zeta-function at the line $\Re{s}=1$, assuming that the Riemann hypothesis holds until the height $T$. In particular, we improve some bounds, in finite regions, for the logarithmic derivative and the reciprocal of the Riemann zeta-function.

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