Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions

Details Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions

2007-11-05

arxiv.org/abs/0711.0579v1

Mathematics

Number Theory

33 pages

Scientific paper

The aim of this paper is to construct new Dedekind type sums. We construct generating functions of Barnes' type multiple Frobenius-Euler numbers and polynomials. By applying Mellin transformation to these functions, we define Barnes' type multiple l-functions, which interpolate Frobenius-Euler numbers at negative integers. By using generalizations of the Frobenius-Euler functions, we define generalized Dedekind type sums and prove corresponding reciprocity law. We also give twisted versions of the Frobenius-Euler polynomials and new Dedekind type sums and corresponding reciprocity law. Furthermore, by using p-adic q-Volkenborn integral and twisted (h,q)-Bernoulli functions, we construct p-adic (h,q)-higher order Dedekind type sums. By using relation between Bernoulli and Frobenius-Euler functions, we also define analogues of Hardy-Berndt type sums. We give some new relations related to to these sums as well.

Affiliated with

Also associated with

No associations

Rating

Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-659804