Abstract
Let [Formula: see text] be the vector space spanned by multiple zeta values (MZVs) of weight [Formula: see text] and depth less than [Formula: see text]. Let [Formula: see text] be the subspace spanned by MZVs of weight [Formula: see text] and depth [Formula: see text], and let [Formula: see text] be the subspace given by the intersection of [Formula: see text] and the vector space spanned by products of MZVs. In the present paper, we prove congruence identities of regularized multiple zeta values involving a pair of index sets modulo [Formula: see text]. We also obtain a proof of the parity result, and a congruence sum formula for MZVs.
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