Copyright © 2010 Min-Soo Kim et al. This is an open access article distributed under the
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We consider the following problem in the paper of Kim et al. (2010): “Find Witt's formula for Carlitz's type -Euler numbers.” We give Witt's formula for Carlitz's type -Euler numbers, which is an answer to the above problem. Moreover, we obtain a new p-adic q-l-function for Dirichlet's character , with the property that for using the fermionic p-adic integral on .