Analytic properties of the Apostol-Vu multiple Lucas \(L\)-functions. (English) Zbl 1513.11155
Summary: In the article we study the analytic continuations of the Apostol-Vu multiple shifted Lucas zeta functions and Apostol-Vu multiple Lucas \(L\)-functions associated to Dirichlet characters. We also compute a complete list of exact singularities and residues of these functions at poles.
MSC:
| 11M32 | Multiple Dirichlet series and zeta functions and multizeta values |
| 11B39 | Fibonacci and Lucas numbers and polynomials and generalizations |
| 30D30 | Meromorphic functions of one complex variable (general theory) |
