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An invariant property of Mahler measure

Number Theory 2023-10-02 v1

Abstract

We exhibit a change of variables that maintains the Mahler measure of a given polynomial. This method leads to the construction of highly non-trivial polynomials with given Mahler measure and settles some conjectural numerical formulas due to Boyd and Brunault.

Keywords

Cite

@article{arxiv.2211.00125,
  title  = {An invariant property of Mahler measure},
  author = {Matilde Lalín and Siva Sankar Nair},
  journal= {arXiv preprint arXiv:2211.00125},
  year   = {2023}
}

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12 pages