2 problems

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Polynomial arctanh integral conjecture for beta values
Polynomial arctanh integral conjecture. For every nonzero integer polynomial $P$ , one has
Conjectureopendirichlet-beta integral-representations irrationalityarXiv posted 2 days ago
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Linear independence conjecture for hyperbolic integrals
Linear independence conjecture. The number $\pi$ does not belong to the rational span of the sequence $(H_p)_{p\geq 1}$ :
Conjectureopendirichlet-beta linear-independence zeta-valuesarXiv posted 2 days ago

Polynomial arctanh integral conjecture for beta values