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The Fibonacci Zeta Function and Modular Forms

Published 3 Feb 2025 in math.NT | (2502.01415v1)

Abstract: We show that a family of Dirichlet series generalizing the Fibonacci zeta function ∑F(n)<sup>−s\sum F(n)<sup>{-s} has meromorphic continuation in terms of dihedral GL(2)\mathrm{GL}(2) Maass forms.

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