TY - JOUR
AU - Chang, ChungYie
PY - 2013/06/30
Y2 - 2024/07/23
TI - Some new proof of the sum formula and restricted sum formula
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 44
IS - 2
SE - Papers
DO - 10.5556/j.tkjm.44.2013.1128
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/1128
SP - 123-129
AB - The sum formula is a basic identify of multiple zeta values that expresses a Riemann-zeta value as a homogeneous sum of multiple zeta values of given depth and weight. This formula was already known to Euler in the depth two case. Conjectured in the early 1990s, for higher depth and then proved by Granville and Zagier independently. Restricted sum formula was given in Eie \cite{2}. In this paper, we present some new proofs of those formulas.
ER -