Journal of Inequalities and Applications (Jan 2010)

On Carlitz's Type <inline-formula> <graphic file="1029-242X-2010-358986-i1.gif"/></inline-formula>-Euler Numbers Associated with the Fermionic <inline-formula> <graphic file="1029-242X-2010-358986-i2.gif"/></inline-formula>-Adic Integral on <inline-formula> <graphic file="1029-242X-2010-358986-i3.gif"/></inline-formula>

  • Kim Taekyun,
  • Ryoo Cheon-Seoung,
  • Kim Min-Soo

Journal volume & issue
Vol. 2010, no. 1
p. 358986

Abstract

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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 .