Sur le spectre des longueurs des groupes de triangles

TL;DR

This paper explores the initial segments of the length spectra associated with Fuchsian triangular groups, providing insights into their geometric and spectral properties.

Contribution

It introduces the early part of the length spectra for Fuchsian triangular groups, a topic not extensively studied before.

Findings

Identification of initial length spectrum values

Insights into geometric structure of triangular groups

Foundations for further spectral analysis

Abstract

We describe in this report the beginning of the length spectra of fuchsian triangular groups