English

The Fibonacci--Redheffer matrix and its properties

Number Theory 2026-04-08 v2

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.

Keywords

Cite

@article{arxiv.2511.13627,
  title  = {The Fibonacci--Redheffer matrix and its properties},
  author = {Aristides V. Doumas and Panayiotis J. Psarrakos},
  journal= {arXiv preprint arXiv:2511.13627},
  year   = {2026}
}

Comments

24 pages, 1 figure, 1 table

R2 v1 2026-07-01T07:41:39.425Z