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Poly-EulerpolynomialsandArakawa–Kanekotypezetafunctions
21
forn>0.Itseemsinterestingtoconsiderthefollowingsumsofpoly-Eulerpoly-
nomials:
ż1+...+żm=n
Σ
(n
i1j...jim)E(k)
ż1(x1)···E
żm(xm)
(k)
ż1,...,żm>o
forn>0andk∈Z.
Acknowledgement.Theauthorexpresseshissinceregratitudetotherefereefor
carefulreadingofthemanuscriptandmanyvaluablesuggestions.Theauthor
wouldliketothankA.Bayadforhelpfuldiscussion.Hewassupportedbythe
Grant-in-AidforScientificResearch(No.20540026),fromtheJapanSocietyfor
thePromotionofScience.
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