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研究生:吳家維
研究生(外文):Jia-Wei Wu
論文名稱(外文):Cyclic Sum Formulas for Multiple Zeta Values and Multiple Zeta-Star Values
指導教授:廖文欽
指導教授(外文):Wen-Chin Liaw
口試委員:廖文欽江謝宏任翁耀臨
口試委員(外文):Wen-Chin LiawHung-Jen Chiang-HsiehYao Lin Ong
口試日期:2013-07-03
學位類別:碩士
校院名稱:國立中正大學
系所名稱:數學研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2013
畢業學年度:101
語文別:英文
論文頁數:21
外文關鍵詞:Multiple zeta valuesMultiple zeta-star valuesCyclic sum formulasDerivation relation
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For multiple zeta values and multiple zeta-star values, we are interested in some Q-linear relations with fixed weight and fixed length. One of these relations we will probe is the so-called cyclic sum forumlas. Specially, the cyclic equivalence classes of multiple zeta-star values are inclued in this thesis.
Acknowledgements ii
Abstract iv
1 Introduction 1
2 Algebra of Multiple Zeta Values 3
3 Relations between MZVs and MZSVs 6
4 Cyclic Sum Formulas 8
References 20
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