- 學位論文
Evaluations of Multiple Zeta Values of Height One with a Parameter
Evaluations of Multiple Zeta Values of Height One with a Parameter
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並列摘要
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.
並列關鍵字
Multiple Zeta Values參考文獻
[1] Minking.Eie, The Theory of Multiple Zeta Zalues with Applications in Combina-
torics, Monographs in Number Theory vol.7, World Scienti c Publishing Co. Pte.
[2] Minking.Eie, Topics in Number Theory, Monographs in Number Thoery vol.2, World
Scienti c Publishing Co. Pte Ltd, 2009.
mials, American Mathematical Society Preovidence, Rhode Island, 1996.