The Fibonacci Zeta Function and Modular Forms

Eran Assaf, Chan Ieong Kuan, David Lowry-Duda +1

We show that a family of Dirichlet series generalizing the Fibonacci zeta function $\sum F(n{)}^{-s}$ has meromorphic continuation in terms of dihedral $\mathrm{GL}(2)$ Maass forms.