Weighted master identity for Γ(x)²/(2Γ(2x)) gives all-derivative-order sums in zeta and log-sine values and proves Sun's Conjecture 4.1.
Zhou,Sun’s series via cyclotomic multiple zeta values, SIGMA19(2023), Paper No
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Weighted Derivative Sums of a Gamma Quotient: Sun's Conjecture and Cyclotomic Specializations
Weighted master identity for Γ(x)²/(2Γ(2x)) gives all-derivative-order sums in zeta and log-sine values and proves Sun's Conjecture 4.1.