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On multivariate p-adic q-integrals

Taekyun Kim1, Dal-Won Park2 and Seog-Hoon Rim3

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By using multiple p-adic q-integrals, we define the p-adic q-L-function in n-variables and the q-extension of p-adic log multiple gamma functions. From these definitions, we show that the values of the p-adic q-L-function at positive integers can be expressed in terms of the q-extension of p-adic log multiple gamma functions.


PACS

02.30.-f Function theory, analysis

02.10.De Algebraic structures and number theory

MSC

11S40 Zeta functions and L-functions (See also 11M41, 19F27)

11S80 Other analytic theory (analogues of beta and gamma functions, p-adic integration, etc.)

Subjects

Mathematical physics

Dates

Issue 37 (21 September 2001)

Received 19 April 2001, in final form 24 July 2001

Published 7 September 2001



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