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RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, vol.13, no.3, pp.340-348, 2006 (SCI-Expanded)
In this paper, we construct a twisted q-partial zeta function and some twisted two-variable q-L-functions that interpolate q-Bernoulli numbers, beta((h))(n,xi) (q), and Bernoulli polynomials, beta((h))(n,chi,xi) (x, q), respectively, at negative integers. Using these functions, we prove the existence of a p-adic interpolation function that interpolates the q-generalized polynomials beta((h))(n,chi,xi) (x, q) at negative integers. Consequently, we de. ne a p-adic twisted q-L-function which is a solution of a question of Kim et al.