Araci, Serkan; Şen, Erdoğan; Acikgoz, Mehmet A note on the modified \(q\)-Dedekind sums. (English) Zbl 1310.11048 Notes Number Theory Discrete Math. 19, No. 3, 60-65 (2013). Summary: 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 alpha by using fermionic \(p\)-adic invariant \(q\)-integral on \(\mathbb Z_p\). Cited in 2 Documents MSC: 11F20 Dedekind eta function, Dedekind sums 11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.) 11B68 Bernoulli and Euler numbers and polynomials Keywords:\(q\)-Dedekind-type sums; \(p\)-adic \(q\)-integral; \(q\)-Genocchi polynomials with weight \(\alpha\) PDFBibTeX XMLCite \textit{S. Araci} et al., Notes Number Theory Discrete Math. 19, No. 3, 60--65 (2013; Zbl 1310.11048) Full Text: arXiv Link