On multivariate p-adic q-integrals

doi:10.1088/0305-4470/34/37/315

On multivariate p-adic q-integrals

Taekyun Kim et al 2001 J. Phys. A: Math. Gen. 34 7633-7638 doi: 10.1088/0305-4470/34/37/315

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Taekyun Kim¹, Dal-Won Park² and Seog-Hoon Rim³
¹ Institute of Science Education, Kongju National University, Kongju, South Korea
² Mathematics Education, Kongju National University, Kongju, South Korea
³ Mathematics Education, Kyungpook National University, Taegu, South Korea
E-mail: tkim@kongju.ac.kr, taekyun64@hanmail.net

Abstract. 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 number: 02.10.De

Mathematics Subject Classification: 11S80

Print publication: Issue 37 (21 September 2001)
Received 19 April 2001, in final form 24 July 2001
Published 7 September 2001

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On multivariate p-adic q-integrals

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