q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions
Number Theory
2018-11-19 v1
Abstract
The aim of this paper is to define new generating functions. By applying the Mellin transformation formula to these generating functions, we define q-analogue of Genocchi zeta function, q-analogue Hurwitz type Genocchi zeta function, q-analogue Genocchi type l-function and two-variable q-Genocchi type l-function. Furthermore, we construct new genereting functions of q-Hardy-Berndt type sums and q-Hardy-Berndt type sums attached to Dirichlet character. We also give some new relations related to q-Hardy-Berndt type sums and q-Genocchi zeta function as well.
Keywords
Cite
@article{arxiv.0710.5681,
title = {q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions},
author = {Yilmaz Simsek},
journal= {arXiv preprint arXiv:0710.5681},
year = {2018}
}
Comments
22 pages