Abstract
In this article, we obtain the analytic continuation of the multiple shifted Lucas zeta function, multiple Lucas L-function associated with Dirichlet characters and additive characters. We then compute a list of possible 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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Meher, N.K., Rout, S.S. Multiple Lucas–Dirichlet Series Associated With Additive and Dirichlet Characters. Mediterr. J. Math. 18, 262 (2021). https://doi.org/10.1007/s00009-021-01892-5
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DOI: https://doi.org/10.1007/s00009-021-01892-5