Relations for Multiple Zeta Values
Matematičeskie zametki, Tome 84 (2008) no. 6, pp. 825-837
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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.
@article{MZM_2008_84_6_a2,
author = {S. A. Zlobin},
title = {Relations for {Multiple} {Zeta} {Values}},
journal = {Matemati\v{c}eskie zametki},
pages = {825--837},
publisher = {mathdoc},
volume = {84},
number = {6},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2008_84_6_a2/}
}
S. A. Zlobin. Relations for Multiple Zeta Values. Matematičeskie zametki, Tome 84 (2008) no. 6, pp. 825-837. http://geodesic.mathdoc.fr/item/MZM_2008_84_6_a2/