Decomposition of a Finite Product of Multiples ofRiemann Zeta Values

碩士 === 國立中正大學 === 數學研究所 === 103 === The classical Euler decomposition theorem expresses a product of two Riemann zeta values as a weighted sum of double Euler sums. Such a decomposition theorem can be generalized to a ﬁnite product of Riemann zeta values and of multiple zeta values of height one. In...

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Main Authors:	Wei-Jhih Yan, 顏威志
Other Authors:	Minking Eie
Format:	Others
Language:	en_US
Published:	2015
Online Access:	http://ndltd.ncl.edu.tw/handle/95073135094788108345

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spelling	ndltd-TW-103CCU004790022016-07-16T04:11:41Z http://ndltd.ncl.edu.tw/handle/95073135094788108345 Decomposition of a Finite Product of Multiples ofRiemann Zeta Values Wei-Jhih Yan 顏威志碩士國立中正大學數學研究所 103 The classical Euler decomposition theorem expresses a product of two Riemann zeta values as a weighted sum of double Euler sums. Such a decomposition theorem can be generalized to a ﬁnite product of Riemann zeta values and of multiple zeta values of height one. In this thesis, we investigate a decomposition of the product in its theoretical form. In particular, we will illustrate its explicit decomposition for the cases of n = 3 and 4 in terms of weighted sums of multiple zeta values. Minking Eie 余文卿 2015 學位論文 ; thesis 20 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中正大學 === 數學研究所 === 103 === The classical Euler decomposition theorem expresses a product of two Riemann zeta values as a weighted sum of double Euler sums. Such a decomposition theorem can be generalized to a ﬁnite product of Riemann zeta values and of multiple zeta values of height one. In this thesis, we investigate a decomposition of the product in its theoretical form. In particular, we will illustrate its explicit decomposition for the cases of n = 3 and 4 in terms of weighted sums of multiple zeta values.
author2	Minking Eie
author_facet	Minking Eie Wei-Jhih Yan 顏威志
author	Wei-Jhih Yan 顏威志
spellingShingle	Wei-Jhih Yan 顏威志 Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
author_sort	Wei-Jhih Yan
title	Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
title_short	Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
title_full	Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
title_fullStr	Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
title_full_unstemmed	Decomposition of a Finite Product of Multiples ofRiemann Zeta Values
title_sort	decomposition of a finite product of multiples ofriemann zeta values
publishDate	2015
url	http://ndltd.ncl.edu.tw/handle/95073135094788108345
work_keys_str_mv	AT weijhihyan decompositionofafiniteproductofmultiplesofriemannzetavalues AT yánwēizhì decompositionofafiniteproductofmultiplesofriemannzetavalues
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Decomposition of a Finite Product of Multiples ofRiemann Zeta Values

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