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Restricted sum
formula for finite and symmetric multiple zeta values
Hideki Murahara and Shingo Saito |
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Vol. 303 (2019), No. 1, 325–335
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Abstract |
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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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Keywords
finite multiple zeta values, symmetric multiple zeta
values, symmetrised multiple zeta values, finite real
multiple zeta values, sum formula, restricted sum formula
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Mathematical Subject Classification 2010
Primary: 11M32
Secondary: 05A19
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Milestones
Received: 8 January 2018
Revised: 10 October 2018
Accepted: 20 April 2019
Published: 21 December 2019
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Authors |
| Hideki Murahara | |
| Nakamura Gakuen University Graduate
School Befu, Jonan-ku Fukuoka Japan |
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| Shingo Saito | |
| Faculty of Arts and Science Kyushu University Motooka, Nishi-ku Fukuoka Japan |
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