Abstract
Using the shuffle product method, we prove some generalized summation formulas for alternating multiple zeta values, a product formula of two alternating multiple zeta values of height one, and a formula of the product of n alternating zeta values.
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This research was funded by the Ministry of Science and Technology, Taiwan, R. O. C., grant number MOST 110-2115-M-845-001.
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Chen, KW. Sum Relations from Shuffle Products of Alternating Multiple Zeta Values. Mediterr. J. Math. 19, 206 (2022). https://doi.org/10.1007/s00009-022-02143-x
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DOI: https://doi.org/10.1007/s00009-022-02143-x
Keywords
- Multiple zeta values
- shuffle product
- Euler sums
- alternating multiple zeta values
- sum formulas
- Euler’s decomposition theorem