A note on the modified q-Dedekind sums

Serkan Araci, Erdoğan Şen and Mehmet Acikgoz
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 19, 2013, Number 3, Pages 60–65
Full paper (PDF, 184 Kb)

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Authors and affiliations

Serkan Araci
Department of Mathematics, Faculty of Science and Arts, University of Gaziantep
27310 Gaziantep, Turkey

Erdoğan Şen
Department of Mathematics, Faculty of Science and Letters, Namık Kemal University
59030 Tekirdağ, Turkey

Mehmet Acikgoz
Department of Mathematics, Faculty of Science and Arts, University of Gaziantep
27310 Gaziantep, Turkey

Abstract

In the present paper, the fundamental aim is to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Extended Dedekind-type sums related to q-Genocchi polynomials with weight α by using fermionic p-adic invariant q-integral on ℤ_p.

Keywords

• Dedekind Sums
• q-Dedekind-type Sums
• p-adic q-integral
  q-Genocchi polynomials with weight α

AMS Classification

• 11S80
• 11B68

References

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