This article is cited in 2 papers

Relations for Multiple Zeta Values

S. A. Zlobin

ABBYY

Abstract: We prove new relations for multiple zeta values. In particular, they imply Vasilev's equality and a formula for the summation of multiple zeta values of fixed weight with a constraint on the first coordinate.

Keywords: zeta function, multiple zeta values, Fubini's theorem, stuffle product (harmonic product) of zeta values, generating function.

UDC: 511.3+517.5

Received: 17.07.2007

DOI: 10.4213/mzm4024

 English version: Mathematical Notes, 2008, 84:6, 771–782

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