Glasgow Mathematical Journal

Table of Contents - January 2012 - Volume 54, Issue 01  

Research Article

NOTE ON q-DEDEKIND-TYPE SUMS RELATED TO q-EULER POLYNOMIALS

TAEKYUN KIMa1

a1 Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, S. Korea e-mail: tkkim@kw.ac.kr

Abstract

Recently, q-Dedekind-type sums related to q-zeta function and basic L-series are studied by Simsek in [13] (Y. Simsek, q-Dedekind type sums related to q-zeta function and basic L-series, J. Math. Anal. Appl. 318 (2006), 333–351) and Dedekind-type sums related to Euler numbers and polynomials are introduced in the previous paper [11] (T. Kim, Note on Dedekind type DC sums, Adv. Stud. Contem. Math. 18 (2009), 249–260). It is the purpose of this paper to construct a p-adic continuous function for an odd prime to contain a p-adic q-analogue of the higher order Dedekind the type sums related to q-Euler polynomials and numbers by using an invariant p-adic q-integrals.

(Received July 28 2009)

(Accepted August 31 2011)

2000 Mathematics Subject Classification

  • 11B68;
  • 11S80

Footnotes

The present Research was conducted in 2011 by the research Grant of Kwangwoon University.