Multiple Lucas Dirichlet series associated to additive and Dirichlet characters
Number Theory
2020-04-02 v1
Abstract
In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas -function associated to Dirichlet characters and additive characters. We then compute a complete list of exact singularities and residues of these functions at these poles. Further, we show the rationality of the multiple Lucas -functions associated with quadratic characters at negative integer arguments.
Cite
@article{arxiv.2004.00332,
title = {Multiple Lucas Dirichlet series associated to additive and Dirichlet characters},
author = {Nabin Kumar Meher and Sudhansu Sekhar Rout},
journal= {arXiv preprint arXiv:2004.00332},
year = {2020}
}
Comments
20 pages