posted on 2025-05-11, 22:15authored byYasuo Ohno, W. Zudilin
We present two new families of identities for the multiple zeta (star) values: The first one generalizes the formula ζ*({2}n, 1) = 2ζ(2n + 1), where {2}n denotes the n-tuple (2,2,...,2), while the second family is a weighted analogue of Euler's formula ∑n-1;l=2 ζ(l,n - l) = ζ(n) (n ≥ 3).