A special case of effective equidistribution with explicit constants

TL;DR

This paper proves an effective equidistribution result with explicit constants for a specific isometry group, leading to an effective understanding of the Markov spectrum's discreteness.

Contribution

It establishes explicit bounds for equidistribution in the context of rational forms with signature (2,1), connecting to the Markov spectrum.

Findings

Effective equidistribution with explicit constants proved.

Discreteness of the Markov spectrum established.

Provides tools for quantitative analysis in related geometric and number-theoretic problems.

Abstract

An effective equidistribution with explicit constants for the isometry group of rational forms with signature $(2,1)$ is proved. As an application we get an effective discreteness of Markov spectrum.