Work

The Fibonacci--Redheffer matrix and its properties

Year: 2025

Type: preprint

Abstract: A Redheffer--type matrix with Fibonacci entries is defined, and the determinant and spectral properties of this matrix are studied. Also, more general Redheffer--type matrices are considered and intriguing number-theoretic examples are illustrated. Furthermore, several asymptotic results are discussed and a new expression related to the Riemann hypothesis is presented.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2511.13627

Authors: Doumas, Aristides V., Psarrakos, Panayiotis J.

Institution: National Technical University of Athens

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Awards: G2842481740, G6276162139

OpenAlex ID: W4416364034

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