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Abstract  

By using p-adic q-deformed fermionic integral on ℤp, we construct new generating functions of the twisted (h, q)-Euler numbers and polynomials attached to a Dirichlet character χ. By applying Mellin transformation and derivative operator to these functions, we define twisted (h, q)-extension of zeta functions and l-functions, which interpolate the twisted (h, q)-extension of Euler numbers at negative integers. Moreover, we construct the partially twisted (h, q)-zeta function. We give some relations between the partially twisted (h, q)-zeta function and twisted (h, q)-extension of Euler numbers.

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, K. , Analytic continuation of the Lucas zeta and L-functions , Indag. Math. 24 ( 2013 ), 637 – 646 . [10] Luca , F. and

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Gonek, S. M. , Analytic properties of zeta and L-functions , PhD Thesis, University of Michigan, 1979. Hayer, H. , Probability Measures on Locally Compact Groups , Springer-Verlag, 1977

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. London Math. Soc , 11 ( 1936 ), 181 – 185 . 10.1112/jlms/s1-11.3.181 [5] Gonek , S. M. , Analytic properties of zeta and L-functions , Ph. D. Thesis, University of Michigan ( 1979 ). [6] Hurwitz , A. , Einige Eigenschaften der Dirichlet

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