The Fibonacci Zeta Function and Modular Forms
Number Theory
2025-02-04 v1
Abstract
We show that a family of Dirichlet series generalizing the Fibonacci zeta function has meromorphic continuation in terms of dihedral Maass forms.
Cite
@article{arxiv.2502.01415,
title = {The Fibonacci Zeta Function and Modular Forms},
author = {Eran Assaf and Chan Ieong Kuan and David Lowry-Duda and Alexander Walker},
journal= {arXiv preprint arXiv:2502.01415},
year = {2025}
}
Comments
19 pages; this is a sequel to our other paper on the Fibonacci zeta function