English

Identities between Mahler measures

Number Theory 2018-03-30 v1

Abstract

The purpose of this short note is to give a proof of the following identity between (logarithmic) Mahler measures m(y^2+2xy+y-x^3-2x^2-x)=5/7*m(y^2+4xy+y-x^3+x^2) which is one of many examples that arise from the comparison of Mahler measures and special values of L-functions.

Cite

@article{arxiv.math/0612670,
  title  = {Identities between Mahler measures},
  author = {Fernando Rodriguez Villegas},
  journal= {arXiv preprint arXiv:math/0612670},
  year   = {2018}
}