2 problems

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The conjecture on the asymptotic value of the cotangent sum
Asymptotic cotangent-sum conjecture. Since $c_0(1/p)$ is directly related to the Riemann hypothesis, the limit should satisfy
Conjectureopenanalytic-number-theory cotangent-sums riemann-hypothesisarXiv posted 2 days ago
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The radius of convergence of the cotangent-sum moment series
The radius-of-convergence conjecture. The radius of convergence of this series is $\pi^2$ . The preceding results establish convergence for a positive range of $x$ and divergence fo…
Conjectureopencotangent-sums number-theory power-seriesarXiv posted 2 days ago

The conjecture on the asymptotic value of the cotangent sum