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arXiv · 2004.00332

Multiple Lucas Dirichlet series associated to additive and Dirichlet characters

Nabin Kumar Meher·Sudhansu Sekhar Rout
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Abstract

In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas $L$-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 $L$-functions associated with quadratic characters at negative integer arguments.

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Nabin Kumar Meher, Sudhansu Sekhar Rout. 2020-04-01. Multiple Lucas Dirichlet series associated to additive and Dirichlet characters. https://arxiv.org/abs/2004.00332

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