Multiple zeta values (MZVs) with certain repeated arguments or certain sums of cyclically generated MZVs are evaluated as rational multiple of powers of $\pi^2$. In this paper, we give a short and simple proof of the remarkable evaluations of MZVs established by D. Borman and D. M. Bradley.
Renormalization of multiple zeta values
Applications of shuffle product to restricted decomposition formulas for multiple zeta values
Differential Birkhoff decomposition and the renormalization of multiple zeta values
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