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 -