Some exceptional cases of weighted sum formulae of multiple zeta values
碩士 === 國立中正大學 === 數學所 === 98 === egin{abstract} For positive integers $a_1$, $a_2,ldots$, $a_r$ with $a_rgeq2$, the multiple zeta value or $r$-fold Euler sum is defined as $$sum_{m_1=1}^{infty}sum_{m_2=1}^{infty}cdotssum_{m_r=1}^{infty}m_1^{-a_1}(m_1+m_2)^{-a_2}cdots(m_1+m_2+cdots+m_r)^{-a_r}.$$ In...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2010
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| Online Access: | http://ndltd.ncl.edu.tw/handle/27121635260724264708 |