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We give a proof of two identities involving binomial sums at infinityconjectured by Z-W Sun. In order to prove these identities, we use a recentlypresented method i.e. we view the series as specializations of generatingseries and derive integral representations. Using substitutions, we expressthese integral representations in terms of cyclotomic harmonic polylogarithms.Finally, by applying known relations among the cyclotomic harmonicpolylogarithms, we derive the results. These methods are implemented in thecomputer algebra package HarmonicSums.

Proving two conjectural series for $\zeta(7)$ and discovering more series for $\zeta(7)$