On Carlitz’s Type q-Euler Numbers Associated with the Fermionic P-Adic Integral on Zp
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چکیده
We consider the following problem in the paper of Kim et al. 2010 : “Find Witt’s formula for Carlitz’s type q-Euler numbers.” We give Witt’s formula for Carlitz’s type q-Euler numbers, which is an answer to the above problem. Moreover, we obtain a new p-adic q-l-function lp,q s, χ for Dirichlet’s character χ, with the property that lp,q −n, χ En,χn,q − χn p p nqEn,χn,qp for n 0, 1, . . . using the fermionic p-adic integral on Zp.
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تاریخ انتشار 2010