English

On a conjecture by Boyd

Number Theory 2010-06-17 v1 K-Theory and Homology

Abstract

The aim of this note is to prove the Mahler measure identity m(x+x1+y+y1+5)=6m(x+x1+y+y1+1)m(x+x^{-1}+y+y^{-1}+5) = 6 m(x+x^{-1}+y+y^{-1}+1) which was conjectured by Boyd. The proof is achieved by proving relationships between regulators of both curves.

Cite

@article{arxiv.0908.1435,
  title  = {On a conjecture by Boyd},
  author = {Matilde N. Lalin},
  journal= {arXiv preprint arXiv:0908.1435},
  year   = {2010}
}
R2 v1 2026-06-21T13:34:15.057Z