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

Preprint

30 October 2007

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.0710.5681

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

HARDY BERNDT TYPE
BERNDT TYPE SUMS
GENOCCHI TYPE
ZETA

All Related Versions

Version 1, 2007-10-30, ArXiv

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