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Matrix methods for arithmetic functions

Number Theory 2025-10-21 v7 Combinatorics

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.

Keywords

Cite

@article{arxiv.math/0405083,
  title  = {Matrix methods for arithmetic functions},
  author = {Barry Brent},
  journal= {arXiv preprint arXiv:math/0405083},
  year   = {2025}
}

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