On Evaluation of Euler Sums with Dirichlet Character
碩士 === 國立中正大學 === 數學所 === 94 === Abstract In this thesis, we consider the Euler sums with Dirichlet character χ defined by {S_{p,q}}^{χ}= {Σ_{n=1}}^{∞}(χ(n)/n^q) {Σ_{k=1}}^{n} (1/k^p), whrer χ is odd and the weight w=p+q is even. Hence we use the Dirichlet character to evaluate the classical Euler...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/755q8h |