ON THE q-ANALOGUE OF TWO-VARIABLE p-ADIC L-FUNCTION

نویسندگان

  • Taekyun Kim
  • T. KIM
چکیده

We construct the two-variable p-adic q-L-function which interpolates the generalized q-Bernoulli polynomials associated with primitive Dirichlet character χ. Indeed, this function is the q-extension of two-variable p-adic L-function due to Fox, corresponding to the case q = 1. Finally, we give some p-adic integral representation for this two-variable p-adic q-L-function and derive to q-extension of the generalized formula of Diamond and Ferro and Greenberg for the two-variable p-adic L-function in terms of the p-adic gamma and log gamma function. §

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تاریخ انتشار 2005