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: | , |
|---|---|
| Other Authors: | |
| Format: | Others |
| Language: | en_US |
| Published: |
2006
|
| Online Access: | http://ndltd.ncl.edu.tw/handle/755q8h |
| id |
ndltd-TW-094CCU05479001 |
|---|---|
| record_format |
oai_dc |
| spelling |
ndltd-TW-094CCU054790012019-05-15T19:17:57Z http://ndltd.ncl.edu.tw/handle/755q8h On Evaluation of Euler Sums with Dirichlet Character 尤拉和用狄利克雷特徵數上的求值 Chi-Wei Chen 陳志偉 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 sums of even weight when p=1 and q=2n+1 and the case of general formula when the conductor f=4 and the element u=1. Minking Eie 余文卿 2006 學位論文 ; thesis 52 en_US |
| collection |
NDLTD |
| language |
en_US |
| format |
Others
|
| sources |
NDLTD |
| description |
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 sums of even weight when p=1 and q=2n+1 and the case of general formula when the conductor f=4 and the element u=1.
|
| author2 |
Minking Eie |
| author_facet |
Minking Eie Chi-Wei Chen 陳志偉 |
| author |
Chi-Wei Chen 陳志偉 |
| spellingShingle |
Chi-Wei Chen 陳志偉 On Evaluation of Euler Sums with Dirichlet Character |
| author_sort |
Chi-Wei Chen |
| title |
On Evaluation of Euler Sums with Dirichlet Character |
| title_short |
On Evaluation of Euler Sums with Dirichlet Character |
| title_full |
On Evaluation of Euler Sums with Dirichlet Character |
| title_fullStr |
On Evaluation of Euler Sums with Dirichlet Character |
| title_full_unstemmed |
On Evaluation of Euler Sums with Dirichlet Character |
| title_sort |
on evaluation of euler sums with dirichlet character |
| publishDate |
2006 |
| url |
http://ndltd.ncl.edu.tw/handle/755q8h |
| work_keys_str_mv |
AT chiweichen onevaluationofeulersumswithdirichletcharacter AT chénzhìwěi onevaluationofeulersumswithdirichletcharacter AT chiweichen yóulāhéyòngdílìkèléitèzhēngshùshàngdeqiúzhí AT chénzhìwěi yóulāhéyòngdílìkèléitèzhēngshùshàngdeqiúzhí |
| _version_ |
1719086459484372992 |