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arXiv · 2502.01415

The Fibonacci Zeta Function and Modular Forms

Eran Assaf·Chan Ieong Kuan·David Lowry-Duda·Alexander Walker
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Abstract

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.

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Eran Assaf, Chan Ieong Kuan, David Lowry-Duda, Alexander Walker. 2025-02-03. The Fibonacci Zeta Function and Modular Forms. https://arxiv.org/abs/2502.01415

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