English

The $*$-Markov equation for Laurent polynomials

Algebraic Geometry 2020-12-08 v4 Mathematical Physics math.MP Number Theory Representation Theory

Abstract

We consider the *-Markov equation for the symmetric Laurent polynomials in three variables with integer coefficients, which is an equivariant analog of the classical Markov equation for integers. We study how the properties of the Markov equation and its solutions are reflected in the properties of the *-Markov equation and its solutions.

Cite

@article{arxiv.2006.11753,
  title  = {The $*$-Markov equation for Laurent polynomials},
  author = {Giordano Cotti and Alexander Varchenko},
  journal= {arXiv preprint arXiv:2006.11753},
  year   = {2020}
}

Comments

68 pages, 11 figures; corrected typos, added references; v4: Introduction extended, references added

R2 v1 2026-06-23T16:29:38.774Z