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

Published online by Cambridge University Press:  09 December 2011

TAEKYUN KIM
TAEKYUN KIM*
Affiliation:
Division of General Education-Mathematics, Kwangwoon University, Seoul 139-701, S. Korea e-mail: tkkim@kw.ac.kr
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Abstract

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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.

Keywords

11B6811S80

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 1 , January 2012 , pp. 121 - 125
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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