In this paper we give the q-extension of Euler numbers which can be viewed as interpolating of the q-analogue of Euler zeta function ay negative integers, in the same way that Riemann zeta function interpolates Bernoulli numbers at negative integers. Final

9

25.Y.Simsek,RemarksonreciprocitylawsoftheDedekindandHardysums,Adv.Stud.Contemp.

Math.12(2006),237-246.26.Y.Simsek,TheoremsontwistedL-functionandtwistedBernoullinumbers,Adv.Stud.Contemp.

Math.11(2005),205-218.27.Y.Simsek,D.Kim,S.-H.Rim,Onthetwo-variableDirichletq-L-series,Adv.Stud.Contemp.

Math.10(2005),131-142.28.Y.Simsek,A.Mehmet,RemarksonDedekindetafunction,thetafunctionsandEisensteinseries

undertheHeckeoperators,Adv.Stud.Contemp.Math.10(2005),15-24.29.Y.Simsek,Y.Sheldon,TransformationoffourTitchmarsh-typein niteintegralsandgeneralized

DedekindsumsassociatedwithLambertseries,Adv.Stud.Contemp.Math.9(2004),195-202.30.Y.Simsek,Onp-adictwistedq-L-functionsrelatedtogeneralizedtwistedBernoullinumbers,

RussianJ.Math.Phys.13(2006),340-348.