Application of the Bernoulli Distribution to Shuffle Relations of Multiple Zeta Values
碩士 === 國立中正大學 === 應用數學研究所 === 99 === In this paper, we first prove a shuffle formula from the shuffle product formula of two multiple zeta values of height one. Multiplying both sides of the shuffle formula by some binomial coefficients and then performing integral operation on both sides, we are ab...
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| Format: | Others |
| Language: | en_US |
| Published: |
2011
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| Online Access: | http://ndltd.ncl.edu.tw/handle/21119770502638962426 |
| Summary: | 碩士 === 國立中正大學 === 應用數學研究所 === 99 === In this paper, we first prove a shuffle formula from the shuffle product formula of two
multiple zeta values of height one. Multiplying both sides of the shuffle formula by
some binomial coefficients and then performing integral operation on both sides, we
are able to obtain more interesting weighted sum formulae concerning the evaluation
of sums of multiple zeta values in terms of single zeta values.
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