TY - JOUR

T1 - Zeta stars

AU - Ohno, Yasuo

AU - Zudilin, Wadim

PY - 2008/6

Y1 - 2008/6

N2 - 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 Σl=2n-1 ζ(l, n - l) = ζ(n) (n ≥ 3).

AB - 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 Σl=2n-1 ζ(l, n - l) = ζ(n) (n ≥ 3).

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U2 - 10.4310/CNTP.2008.v2.n2.a2

DO - 10.4310/CNTP.2008.v2.n2.a2

M3 - Article

AN - SCOPUS:68549117200

SN - 1931-4523

VL - 2

SP - 325

EP - 347

JO - Communications in Number Theory and Physics

JF - Communications in Number Theory and Physics

IS - 2

ER -