English

The Mahler measure for arbitrary tori

Number Theory 2017-08-09 v1

Abstract

We consider a variation of the Mahler measure where the defining integral is performed over a more general torus. We focus our investigation on two particular polynomials related to certain elliptic curve EE and we establish new formulas for this variation of the Mahler measure in terms of L(E,0)L'(E,0).

Keywords

Cite

@article{arxiv.1708.02466,
  title  = {The Mahler measure for arbitrary tori},
  author = {Matilde Lalin and Tushant Mittal},
  journal= {arXiv preprint arXiv:1708.02466},
  year   = {2017}
}

Comments

26 pages, 1 figure

R2 v1 2026-06-22T21:09:32.789Z