Evaluations of Multiple Zeta Values of Height One with a Parameter

碩士 === 國立中正大學 === 數學系研究所 === 104 === In this theosis,we will evaluate the multiple zeta value with a parameter x > 0 which is a generalization of the double sum considered by Ramanujan's in such kind of multiple zeta values can be represented by integrals of single variables and generating f...

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Main Authors: Guan-han Lee, 李冠翰
Other Authors: Minking Eie
Format: Others
Language:en_US
Published: 2016
Online Access:http://ndltd.ncl.edu.tw/handle/82624561289608276990
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spelling ndltd-TW-104CCU004790012017-07-09T04:30:07Z http://ndltd.ncl.edu.tw/handle/82624561289608276990 Evaluations of Multiple Zeta Values of Height One with a Parameter Guan-han Lee 李冠翰 碩士 國立中正大學 數學系研究所 104 In this theosis,we will evaluate the multiple zeta value with a parameter x > 0 which is a generalization of the double sum considered by Ramanujan's in such kind of multiple zeta values can be represented by integrals of single variables and generating function is given by In particular when m = 2; 3; 4 we obtain explicit formulas. Minking Eie 余文卿 2016 學位論文 ; thesis 23 en_US
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language en_US
format Others
sources NDLTD
description 碩士 === 國立中正大學 === 數學系研究所 === 104 === In this theosis,we will evaluate the multiple zeta value with a parameter x > 0 which is a generalization of the double sum considered by Ramanujan's in such kind of multiple zeta values can be represented by integrals of single variables and generating function is given by In particular when m = 2; 3; 4 we obtain explicit formulas.
author2 Minking Eie
author_facet Minking Eie
Guan-han Lee
李冠翰
author Guan-han Lee
李冠翰
spellingShingle Guan-han Lee
李冠翰
Evaluations of Multiple Zeta Values of Height One with a Parameter
author_sort Guan-han Lee
title Evaluations of Multiple Zeta Values of Height One with a Parameter
title_short Evaluations of Multiple Zeta Values of Height One with a Parameter
title_full Evaluations of Multiple Zeta Values of Height One with a Parameter
title_fullStr Evaluations of Multiple Zeta Values of Height One with a Parameter
title_full_unstemmed Evaluations of Multiple Zeta Values of Height One with a Parameter
title_sort evaluations of multiple zeta values of height one with a parameter
publishDate 2016
url http://ndltd.ncl.edu.tw/handle/82624561289608276990
work_keys_str_mv AT guanhanlee evaluationsofmultiplezetavaluesofheightonewithaparameter
AT lǐguānhàn evaluationsofmultiplezetavaluesofheightonewithaparameter
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