Ratio of sextic and cubic arctangent integrals equals a rational constant and yields new dilogarithm functional equations plus proofs of several prior conjectures.
HAKIMOGLU, Accelerating the hypergeometric function with the beta integral to derive new infinite series forπand values of the Gamma function, arXiv:2402.08693 (2024)
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Deriving Dilogarithm Identities from the Ratio of Arctangent Integrals
Ratio of sextic and cubic arctangent integrals equals a rational constant and yields new dilogarithm functional equations plus proofs of several prior conjectures.