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arXiv · 2603.25076

Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH)

Artur Kawalec
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Abstract

We derive a simple expression to analytically continue the prime zeta function to the domain $\Re(s)>\frac{1}{2}$ assuming (RH) and taking into account a proper branch cut. We also verify the formula numerically and provide several plots.

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Artur Kawalec. 2026-03-28. Analytical continuation of prime zeta function for $\Re(s)>\frac{1}{2}$ assuming (RH). https://arxiv.org/abs/2603.25076

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