q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions

Details q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions q-Hardy-Berndt type sums associated with q-Genocchi type zeta and l-functions

2007-10-30

arxiv.org/abs/0710.5681v1

Mathematics

Number Theory

22 pages

Scientific paper

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.

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