TY - JOUR
T1 - Restricted sum formula for finite and symmetric multiple zeta values
AU - Murahara, Hideki
AU - Saito, Shingo
N1 - Publisher Copyright:
© 2019 Mathematical Sciences Publishers.
PY - 2019
Y1 - 2019
N2 - The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified component is required to be more than one, then the values sum up to a rational multiple of the analogue of the Riemann zeta value. We prove that the result remains true if we further demand that the component should be more than two or that another component should also be more than one.
AB - The sum formula for finite and symmetric multiple zeta values, established by Wakabayashi and the authors, implies that if the weight and depth are fixed and the specified component is required to be more than one, then the values sum up to a rational multiple of the analogue of the Riemann zeta value. We prove that the result remains true if we further demand that the component should be more than two or that another component should also be more than one.
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U2 - 10.2140/pjm.2019.303.325
DO - 10.2140/pjm.2019.303.325
M3 - Article
AN - SCOPUS:85077155465
SN - 0030-8730
VL - 303
SP - 325
EP - 335
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 1
ER -