Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
碩士 === 國立中正大學 === 數學研究所 === 103 === The classical Euler decomposition theorem expresses a product of two Riemann zeta values as a weighted sum of double Euler sums. Such a decomposition theorem can be generalized to a finite product of Riemann zeta values and of multiple zeta values of height one. In...
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| Format: | Others |
| Language: | en_US |
| Published: |
2015
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| Online Access: | http://ndltd.ncl.edu.tw/handle/95073135094788108345 |
| Summary: | 碩士 === 國立中正大學 === 數學研究所 === 103 === The classical Euler decomposition theorem expresses a product of two Riemann zeta values as a weighted sum of double Euler sums. Such a decomposition theorem can be generalized to a finite product of Riemann zeta values and of multiple zeta values of height one.
In this thesis, we investigate a decomposition of the product in its theoretical form. In particular, we will illustrate its explicit decomposition for the cases of n = 3 and 4 in terms of weighted sums of multiple zeta values.
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