The Fibonacci Zeta Function and Modular Forms

2025/02/03 by Eran Assaf, Chan Ieong Kuan, Assaf, Eran +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2502.01415

openalex publication_date 2025/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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