Matrix methods for arithmetic functions

2004/05/05 by Barry Brent, Brent, Barry · 1 citation
Chemistry · Mathematics · #05 #11 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0405083

openalex publication_date 2004/05/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/03

Abstract

We apply matrix methods to arithmetic functions by associating matrices to the functions in a manner drawn from the theory of symmetric functions. Then we study the characteristic polynomials of the associated matrices.

Cited by

• Ramanujan's function on small primes

Related

• The polynomial identities for matrix functions
• La Budde's Method for Computing Characteristic Polynomials
• Algorithmic work with orthogonal polynomials and special functions
• Lucas, Fibonacci, and Chebyshev polynomials from matrices
• Symmetric Matrices: Theory and Applications