Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
碩士 === 國立中正大學 === 應用數學研究所 === 94 === The classical~Euler sum is defined by [ S_{p, q} := sum_{k=1}^{infty} frac{1}{k^{q}} sum_{j=1}^{k} frac{1}{j^{p}}. ] In this thesis, we consider the more general sum defined by [ S_{p, q}^{chi} := sum_{k=1}^{infty} frac{chi(k)}{k^{q}} sum_{j=1}^{k} frac{1}{...
| Main Authors: | , |
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| Format: | Others |
| Language: | en_US |
| Online Access: | http://ndltd.ncl.edu.tw/handle/55306109653575893041 |