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 === 95 === 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}{...

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Main Authors:	Chih-wei Hsu, 釦蚨
Other Authors:	Minking Eie
Format:	Others
Language:	en_US
Online Access:	http://ndltd.ncl.edu.tw/handle/18543953312745149511

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spelling	ndltd-TW-095CCU055070132015-11-25T04:04:40Z http://ndltd.ncl.edu.tw/handle/18543953312745149511 Evaluations of New Euler Sums of Even Weight with Dirichlet Characters 帶狄克利雷特徵數的偶權數尤拉和取值 Chih-wei Hsu 釦蚨碩士國立中正大學應用數學研究所 95 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}{j^{p}}, ] where $chi$ is~Dirichlet character. We have evaluations in terms of values at positive integers of~Herwitz zeta functions, when $chi$ is odd and the weight $w = p+q$ is even. Minking Eie 余文卿學位論文 ; thesis 34 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中正大學 === 應用數學研究所 === 95 === 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}{j^{p}}, ] where $chi$ is~Dirichlet character. We have evaluations in terms of values at positive integers of~Herwitz zeta functions, when $chi$ is odd and the weight $w = p+q$ is even.
author2	Minking Eie
author_facet	Minking Eie Chih-wei Hsu 釦蚨
author	Chih-wei Hsu 釦蚨
spellingShingle	Chih-wei Hsu 釦蚨 Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
author_sort	Chih-wei Hsu
title	Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
title_short	Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
title_full	Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
title_fullStr	Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
title_full_unstemmed	Evaluations of New Euler Sums of Even Weight with Dirichlet Characters
title_sort	evaluations of new euler sums of even weight with dirichlet characters
url	http://ndltd.ncl.edu.tw/handle/18543953312745149511
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Evaluations of New Euler Sums of Even Weight with Dirichlet Characters

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